Home » Archimedes archive » Zipped Apps » PipeDream » Functions/Matrix
Functions/Matrix
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
Tape/disk: | Home » Archimedes archive » Zipped Apps » PipeDream |
Filename: | Functions/Matrix |
Read OK: | ✔ |
File size: | 1134 bytes |
Load address: | 0000 |
Exec address: | 0000 |
Duplicates
There is 1 duplicate copy of this file in the archive:
- Archimedes archive » Zipped Apps » PipeDream » Functions/Matrix
- Archimedes archive » Apps » PipeDream 4 (1991) (Colton Software) (Examples Disc).adf » Functions/Matrix
File contents
%OP%VS4.12 Test (Dec 12 1991), Colton Software - Development, R0123 4567 8901 2345 %OP%TNN %OP%DP1 %OP%LP( %OP%TP) %OP%TM4 %OP%BM4 %OP%LM5 %OP%FX %OP%FY %OP%FS %OP%WC2,1126,168,1364,0,0,0,0 %OP%LC0,7 %CO:A,16,65% %C%%H1%Matrix Functions Examples %H1%3x3 Matrices : %R% Matrix M : %R%M + N : %R%M * N : %R%Inv(M) (M%H6%-1%H6%) : %H1%2x2 Matrices : %R%Matrix M : %R%M + N : %R%M * N : %R%Inv(M) M%H6%-1%H6% : %CO:B,7,49% %V%%R%%LC%1 %V%%R%%LC%4 %V%%R%%LC%7 %V%%R%%LC%B6D8+F6H8 %V%%R%%LC%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%%LC%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%%LC%m_mult(B6D8,F6H8) %V%%R%%LC%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%%LC%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%%LC%m_inverse(B6D8) %V%%R%%LC%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%%LC%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%%LC%1 %V%%R%%LC%2 %V%%R%%LC%B24C25+F24G25 %V%%R%%LC%index($B$27,col-col($B$27)+1,row-row($B$27)+1) %V%%R%%LC%m_mult(B24C25,F24G25) %V%%R%%LC%index($B$30,col-col($B$30)+1,row-row($B$30)+1) %V%%R%%LC%m_inverse(B24C25) %V%%R%%LC%index($B$33,col-col($B$33)+1,row-row($B$33)+1) %CO:C,6,42% %V%%R%2 %V%%R%5 %V%%R%6 %V%%R%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%%TC%4 %V%%R%%TC%3 %V%%R%%TC%index($B$27,col-col($B$27)+1,row-row($B$27)+1) %V%%R%%TC%index($B$27,col-col($B$27)+1,row-row($B$27)+1) %V%%R%%TC%index($B$30,col-col($B$30)+1,row-row($B$30)+1) %V%%R%%TC%index($B$30,col-col($B$30)+1,row-row($B$30)+1) %V%%R%%TC%index($B$33,col-col($B$33)+1,row-row($B$33)+1) %V%%R%%TC%index($B$33,col-col($B$33)+1,row-row($B$33)+1) %CO:D,6,36% %V%%R%%TC%3 %V%%R%%TC%6 %V%%R%%TC%7 %V%%R%%TC%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%%TC%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%%TC%index($B$10,col-col($B$10)+1,row-row($B$10)+1) %V%%R%%TC%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%%TC%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%%TC%index($B$14,col-col($B$14)+1,row-row($B$14)+1) %V%%R%%TC%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%%TC%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %V%%R%%TC%index($B$18,col-col($B$18)+1,row-row($B$18)+1) %CO:E,11,30% %R%Matrix N : %R%M - N : %R%det(M) : %R%M%H6%-1%H6% * M : %R%Matrix N : %R%M - N : %R%det(M) : %R%M%H6%-1%H6% * M : %CO:F,7,19% %V%%R%%LC%-1 %V%%R%%LC%2 %V%%R%%LC%0 %V%%R%%LC%B6D8-F6H8 %V%%R%%LC%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%%LC%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%m_determ(B6D8) %V%%R%%LC%m_mult(B18,B6D8) %V%%R%%LC%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%%LC%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%%LC%-1 %V%%R%%LC%2 %V%%R%%LC%B24C25-F24G25 %V%%R%%LC%index($F$27,col-col($F$27)+1,row-row($F$27)+1) %V%%R%m_determ(B24C25) %V%%R%%LC%m_mult(B33,B24C25) %V%%R%%LC%index($F$33,col-col($F$33)+1,row-row($F$33)+1) %CO:G,6,12% %V%%R%5 %V%%R%0 %V%%R%-3 %V%%R%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%%TC%3 %V%%R%%TC%-1 %V%%R%%TC%index($F$27,col-col($F$27)+1,row-row($F$27)+1) %V%%R%%TC%index($F$27,col-col($F$27)+1,row-row($F$27)+1) %V%%R%%TC%index($F$33,col-col($F$33)+1,row-row($F$33)+1) %V%%R%%TC%index($F$33,col-col($F$33)+1,row-row($F$33)+1) %CO:H,6,0% %V%%R%%TC%0 %V%%R%%TC%3 %V%%R%%TC%-2 %V%%R%%TC%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%%TC%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%%TC%index($F$10,col-col($F$10)+1,row-row($F$10)+1) %V%%R%%TC%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%%TC%index($F$18,col-col($F$18)+1,row-row($F$18)+1) %V%%R%%TC%index($F$18,col-col($F$18)+1,row-row($F$18)+1)
00000000 25 4f 50 25 56 53 34 2e 31 32 20 54 65 73 74 20 |%OP%VS4.12 Test | 00000010 28 44 65 63 20 31 32 20 31 39 39 31 29 2c 20 43 |(Dec 12 1991), C| 00000020 6f 6c 74 6f 6e 20 53 6f 66 74 77 61 72 65 20 2d |olton Software -| 00000030 20 44 65 76 65 6c 6f 70 6d 65 6e 74 2c 20 52 30 | Development, R0| 00000040 31 32 33 20 34 35 36 37 20 38 39 30 31 20 32 33 |123 4567 8901 23| 00000050 34 35 0a 25 4f 50 25 54 4e 4e 0a 25 4f 50 25 44 |45.%OP%TNN.%OP%D| 00000060 50 31 0a 25 4f 50 25 4c 50 28 20 0a 25 4f 50 25 |P1.%OP%LP( .%OP%| 00000070 54 50 29 0a 25 4f 50 25 54 4d 34 0a 25 4f 50 25 |TP).%OP%TM4.%OP%| 00000080 42 4d 34 0a 25 4f 50 25 4c 4d 35 0a 25 4f 50 25 |BM4.%OP%LM5.%OP%| 00000090 46 58 0a 25 4f 50 25 46 59 0a 25 4f 50 25 46 53 |FX.%OP%FY.%OP%FS| 000000a0 0a 25 4f 50 25 57 43 32 2c 31 31 32 36 2c 31 36 |.%OP%WC2,1126,16| 000000b0 38 2c 31 33 36 34 2c 30 2c 30 2c 30 2c 30 0a 25 |8,1364,0,0,0,0.%| 000000c0 4f 50 25 4c 43 30 2c 37 0a 25 43 4f 3a 41 2c 31 |OP%LC0,7.%CO:A,1| 000000d0 36 2c 36 35 25 0a 25 43 25 25 48 31 25 4d 61 74 |6,65%.%C%%H1%Mat| 000000e0 72 69 78 20 46 75 6e 63 74 69 6f 6e 73 20 45 78 |rix Functions Ex| 000000f0 61 6d 70 6c 65 73 0a 0a 25 48 31 25 33 78 33 20 |amples..%H1%3x3 | 00000100 4d 61 74 72 69 63 65 73 20 3a 0a 0a 25 52 25 20 |Matrices :..%R% | 00000110 4d 61 74 72 69 78 20 4d 20 3a 0a 0a 0a 0a 25 52 |Matrix M :....%R| 00000120 25 4d 20 2b 20 4e 20 3a 0a 0a 0a 0a 25 52 25 4d |%M + N :....%R%M| 00000130 20 2a 20 4e 20 3a 0a 0a 0a 0a 25 52 25 49 6e 76 | * N :....%R%Inv| 00000140 28 4d 29 20 20 28 4d 25 48 36 25 2d 31 25 48 36 |(M) (M%H6%-1%H6| 00000150 25 29 20 3a 0a 0a 0a 0a 25 48 31 25 32 78 32 20 |%) :....%H1%2x2 | 00000160 4d 61 74 72 69 63 65 73 20 3a 0a 0a 25 52 25 4d |Matrices :..%R%M| 00000170 61 74 72 69 78 20 4d 20 3a 0a 0a 0a 25 52 25 4d |atrix M :...%R%M| 00000180 20 2b 20 4e 20 3a 0a 0a 0a 25 52 25 4d 20 2a 20 | + N :...%R%M * | 00000190 4e 20 3a 0a 0a 0a 25 52 25 49 6e 76 28 4d 29 20 |N :...%R%Inv(M) | 000001a0 20 20 20 4d 25 48 36 25 2d 31 25 48 36 25 20 3a | M%H6%-1%H6% :| 000001b0 0a 25 43 4f 3a 42 2c 37 2c 34 39 25 0a 0a 0a 0a |.%CO:B,7,49%....| 000001c0 0a 25 56 25 25 52 25 25 4c 43 25 31 0a 25 56 25 |.%V%%R%%LC%1.%V%| 000001d0 25 52 25 25 4c 43 25 34 0a 25 56 25 25 52 25 25 |%R%%LC%4.%V%%R%%| 000001e0 4c 43 25 37 0a 0a 25 56 25 25 52 25 25 4c 43 25 |LC%7..%V%%R%%LC%| 000001f0 42 36 44 38 2b 46 36 48 38 0a 25 56 25 25 52 25 |B6D8+F6H8.%V%%R%| 00000200 25 4c 43 25 69 6e 64 65 78 28 24 42 24 31 30 2c |%LC%index($B$10,| 00000210 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 30 29 2b 31 |col-col($B$10)+1| 00000220 2c 72 6f 77 2d 72 6f 77 28 24 42 24 31 30 29 2b |,row-row($B$10)+| 00000230 31 29 0a 25 56 25 25 52 25 25 4c 43 25 69 6e 64 |1).%V%%R%%LC%ind| 00000240 65 78 28 24 42 24 31 30 2c 63 6f 6c 2d 63 6f 6c |ex($B$10,col-col| 00000250 28 24 42 24 31 30 29 2b 31 2c 72 6f 77 2d 72 6f |($B$10)+1,row-ro| 00000260 77 28 24 42 24 31 30 29 2b 31 29 0a 0a 25 56 25 |w($B$10)+1)..%V%| 00000270 25 52 25 25 4c 43 25 6d 5f 6d 75 6c 74 28 42 36 |%R%%LC%m_mult(B6| 00000280 44 38 2c 46 36 48 38 29 0a 25 56 25 25 52 25 25 |D8,F6H8).%V%%R%%| 00000290 4c 43 25 69 6e 64 65 78 28 24 42 24 31 34 2c 63 |LC%index($B$14,c| 000002a0 6f 6c 2d 63 6f 6c 28 24 42 24 31 34 29 2b 31 2c |ol-col($B$14)+1,| 000002b0 72 6f 77 2d 72 6f 77 28 24 42 24 31 34 29 2b 31 |row-row($B$14)+1| 000002c0 29 0a 25 56 25 25 52 25 25 4c 43 25 69 6e 64 65 |).%V%%R%%LC%inde| 000002d0 78 28 24 42 24 31 34 2c 63 6f 6c 2d 63 6f 6c 28 |x($B$14,col-col(| 000002e0 24 42 24 31 34 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$B$14)+1,row-row| 000002f0 28 24 42 24 31 34 29 2b 31 29 0a 0a 25 56 25 25 |($B$14)+1)..%V%%| 00000300 52 25 25 4c 43 25 6d 5f 69 6e 76 65 72 73 65 28 |R%%LC%m_inverse(| 00000310 42 36 44 38 29 0a 25 56 25 25 52 25 25 4c 43 25 |B6D8).%V%%R%%LC%| 00000320 69 6e 64 65 78 28 24 42 24 31 38 2c 63 6f 6c 2d |index($B$18,col-| 00000330 63 6f 6c 28 24 42 24 31 38 29 2b 31 2c 72 6f 77 |col($B$18)+1,row| 00000340 2d 72 6f 77 28 24 42 24 31 38 29 2b 31 29 0a 25 |-row($B$18)+1).%| 00000350 56 25 25 52 25 25 4c 43 25 69 6e 64 65 78 28 24 |V%%R%%LC%index($| 00000360 42 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$18,col-col($B$| 00000370 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |18)+1,row-row($B| 00000380 24 31 38 29 2b 31 29 0a 0a 0a 0a 25 56 25 25 52 |$18)+1)....%V%%R| 00000390 25 25 4c 43 25 31 0a 25 56 25 25 52 25 25 4c 43 |%%LC%1.%V%%R%%LC| 000003a0 25 32 0a 0a 25 56 25 25 52 25 25 4c 43 25 42 32 |%2..%V%%R%%LC%B2| 000003b0 34 43 32 35 2b 46 32 34 47 32 35 0a 25 56 25 25 |4C25+F24G25.%V%%| 000003c0 52 25 25 4c 43 25 69 6e 64 65 78 28 24 42 24 32 |R%%LC%index($B$2| 000003d0 37 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 32 37 29 |7,col-col($B$27)| 000003e0 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 24 32 37 |+1,row-row($B$27| 000003f0 29 2b 31 29 0a 0a 25 56 25 25 52 25 25 4c 43 25 |)+1)..%V%%R%%LC%| 00000400 6d 5f 6d 75 6c 74 28 42 32 34 43 32 35 2c 46 32 |m_mult(B24C25,F2| 00000410 34 47 32 35 29 0a 25 56 25 25 52 25 25 4c 43 25 |4G25).%V%%R%%LC%| 00000420 69 6e 64 65 78 28 24 42 24 33 30 2c 63 6f 6c 2d |index($B$30,col-| 00000430 63 6f 6c 28 24 42 24 33 30 29 2b 31 2c 72 6f 77 |col($B$30)+1,row| 00000440 2d 72 6f 77 28 24 42 24 33 30 29 2b 31 29 0a 0a |-row($B$30)+1)..| 00000450 25 56 25 25 52 25 25 4c 43 25 6d 5f 69 6e 76 65 |%V%%R%%LC%m_inve| 00000460 72 73 65 28 42 32 34 43 32 35 29 0a 25 56 25 25 |rse(B24C25).%V%%| 00000470 52 25 25 4c 43 25 69 6e 64 65 78 28 24 42 24 33 |R%%LC%index($B$3| 00000480 33 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 33 33 29 |3,col-col($B$33)| 00000490 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 24 33 33 |+1,row-row($B$33| 000004a0 29 2b 31 29 0a 25 43 4f 3a 43 2c 36 2c 34 32 25 |)+1).%CO:C,6,42%| 000004b0 0a 0a 0a 0a 0a 25 56 25 25 52 25 32 0a 25 56 25 |.....%V%%R%2.%V%| 000004c0 25 52 25 35 0a 25 56 25 25 52 25 36 0a 0a 25 56 |%R%5.%V%%R%6..%V| 000004d0 25 25 52 25 69 6e 64 65 78 28 24 42 24 31 30 2c |%%R%index($B$10,| 000004e0 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 30 29 2b 31 |col-col($B$10)+1| 000004f0 2c 72 6f 77 2d 72 6f 77 28 24 42 24 31 30 29 2b |,row-row($B$10)+| 00000500 31 29 0a 25 56 25 25 52 25 69 6e 64 65 78 28 24 |1).%V%%R%index($| 00000510 42 24 31 30 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$10,col-col($B$| 00000520 31 30 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |10)+1,row-row($B| 00000530 24 31 30 29 2b 31 29 0a 25 56 25 25 52 25 69 6e |$10)+1).%V%%R%in| 00000540 64 65 78 28 24 42 24 31 30 2c 63 6f 6c 2d 63 6f |dex($B$10,col-co| 00000550 6c 28 24 42 24 31 30 29 2b 31 2c 72 6f 77 2d 72 |l($B$10)+1,row-r| 00000560 6f 77 28 24 42 24 31 30 29 2b 31 29 0a 0a 25 56 |ow($B$10)+1)..%V| 00000570 25 25 52 25 69 6e 64 65 78 28 24 42 24 31 34 2c |%%R%index($B$14,| 00000580 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 34 29 2b 31 |col-col($B$14)+1| 00000590 2c 72 6f 77 2d 72 6f 77 28 24 42 24 31 34 29 2b |,row-row($B$14)+| 000005a0 31 29 0a 25 56 25 25 52 25 69 6e 64 65 78 28 24 |1).%V%%R%index($| 000005b0 42 24 31 34 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$14,col-col($B$| 000005c0 31 34 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |14)+1,row-row($B| 000005d0 24 31 34 29 2b 31 29 0a 25 56 25 25 52 25 69 6e |$14)+1).%V%%R%in| 000005e0 64 65 78 28 24 42 24 31 34 2c 63 6f 6c 2d 63 6f |dex($B$14,col-co| 000005f0 6c 28 24 42 24 31 34 29 2b 31 2c 72 6f 77 2d 72 |l($B$14)+1,row-r| 00000600 6f 77 28 24 42 24 31 34 29 2b 31 29 0a 0a 25 56 |ow($B$14)+1)..%V| 00000610 25 25 52 25 69 6e 64 65 78 28 24 42 24 31 38 2c |%%R%index($B$18,| 00000620 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 38 29 2b 31 |col-col($B$18)+1| 00000630 2c 72 6f 77 2d 72 6f 77 28 24 42 24 31 38 29 2b |,row-row($B$18)+| 00000640 31 29 0a 25 56 25 25 52 25 69 6e 64 65 78 28 24 |1).%V%%R%index($| 00000650 42 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$18,col-col($B$| 00000660 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |18)+1,row-row($B| 00000670 24 31 38 29 2b 31 29 0a 25 56 25 25 52 25 69 6e |$18)+1).%V%%R%in| 00000680 64 65 78 28 24 42 24 31 38 2c 63 6f 6c 2d 63 6f |dex($B$18,col-co| 00000690 6c 28 24 42 24 31 38 29 2b 31 2c 72 6f 77 2d 72 |l($B$18)+1,row-r| 000006a0 6f 77 28 24 42 24 31 38 29 2b 31 29 0a 0a 0a 0a |ow($B$18)+1)....| 000006b0 25 56 25 25 52 25 25 54 43 25 34 0a 25 56 25 25 |%V%%R%%TC%4.%V%%| 000006c0 52 25 25 54 43 25 33 0a 0a 25 56 25 25 52 25 25 |R%%TC%3..%V%%R%%| 000006d0 54 43 25 69 6e 64 65 78 28 24 42 24 32 37 2c 63 |TC%index($B$27,c| 000006e0 6f 6c 2d 63 6f 6c 28 24 42 24 32 37 29 2b 31 2c |ol-col($B$27)+1,| 000006f0 72 6f 77 2d 72 6f 77 28 24 42 24 32 37 29 2b 31 |row-row($B$27)+1| 00000700 29 0a 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 |).%V%%R%%TC%inde| 00000710 78 28 24 42 24 32 37 2c 63 6f 6c 2d 63 6f 6c 28 |x($B$27,col-col(| 00000720 24 42 24 32 37 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$B$27)+1,row-row| 00000730 28 24 42 24 32 37 29 2b 31 29 0a 0a 25 56 25 25 |($B$27)+1)..%V%%| 00000740 52 25 25 54 43 25 69 6e 64 65 78 28 24 42 24 33 |R%%TC%index($B$3| 00000750 30 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 33 30 29 |0,col-col($B$30)| 00000760 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 24 33 30 |+1,row-row($B$30| 00000770 29 2b 31 29 0a 25 56 25 25 52 25 25 54 43 25 69 |)+1).%V%%R%%TC%i| 00000780 6e 64 65 78 28 24 42 24 33 30 2c 63 6f 6c 2d 63 |ndex($B$30,col-c| 00000790 6f 6c 28 24 42 24 33 30 29 2b 31 2c 72 6f 77 2d |ol($B$30)+1,row-| 000007a0 72 6f 77 28 24 42 24 33 30 29 2b 31 29 0a 0a 25 |row($B$30)+1)..%| 000007b0 56 25 25 52 25 25 54 43 25 69 6e 64 65 78 28 24 |V%%R%%TC%index($| 000007c0 42 24 33 33 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$33,col-col($B$| 000007d0 33 33 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |33)+1,row-row($B| 000007e0 24 33 33 29 2b 31 29 0a 25 56 25 25 52 25 25 54 |$33)+1).%V%%R%%T| 000007f0 43 25 69 6e 64 65 78 28 24 42 24 33 33 2c 63 6f |C%index($B$33,co| 00000800 6c 2d 63 6f 6c 28 24 42 24 33 33 29 2b 31 2c 72 |l-col($B$33)+1,r| 00000810 6f 77 2d 72 6f 77 28 24 42 24 33 33 29 2b 31 29 |ow-row($B$33)+1)| 00000820 0a 25 43 4f 3a 44 2c 36 2c 33 36 25 0a 0a 0a 0a |.%CO:D,6,36%....| 00000830 0a 25 56 25 25 52 25 25 54 43 25 33 0a 25 56 25 |.%V%%R%%TC%3.%V%| 00000840 25 52 25 25 54 43 25 36 0a 25 56 25 25 52 25 25 |%R%%TC%6.%V%%R%%| 00000850 54 43 25 37 0a 0a 25 56 25 25 52 25 25 54 43 25 |TC%7..%V%%R%%TC%| 00000860 69 6e 64 65 78 28 24 42 24 31 30 2c 63 6f 6c 2d |index($B$10,col-| 00000870 63 6f 6c 28 24 42 24 31 30 29 2b 31 2c 72 6f 77 |col($B$10)+1,row| 00000880 2d 72 6f 77 28 24 42 24 31 30 29 2b 31 29 0a 25 |-row($B$10)+1).%| 00000890 56 25 25 52 25 25 54 43 25 69 6e 64 65 78 28 24 |V%%R%%TC%index($| 000008a0 42 24 31 30 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 |B$10,col-col($B$| 000008b0 31 30 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 |10)+1,row-row($B| 000008c0 24 31 30 29 2b 31 29 0a 25 56 25 25 52 25 25 54 |$10)+1).%V%%R%%T| 000008d0 43 25 69 6e 64 65 78 28 24 42 24 31 30 2c 63 6f |C%index($B$10,co| 000008e0 6c 2d 63 6f 6c 28 24 42 24 31 30 29 2b 31 2c 72 |l-col($B$10)+1,r| 000008f0 6f 77 2d 72 6f 77 28 24 42 24 31 30 29 2b 31 29 |ow-row($B$10)+1)| 00000900 0a 0a 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 |..%V%%R%%TC%inde| 00000910 78 28 24 42 24 31 34 2c 63 6f 6c 2d 63 6f 6c 28 |x($B$14,col-col(| 00000920 24 42 24 31 34 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$B$14)+1,row-row| 00000930 28 24 42 24 31 34 29 2b 31 29 0a 25 56 25 25 52 |($B$14)+1).%V%%R| 00000940 25 25 54 43 25 69 6e 64 65 78 28 24 42 24 31 34 |%%TC%index($B$14| 00000950 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 34 29 2b |,col-col($B$14)+| 00000960 31 2c 72 6f 77 2d 72 6f 77 28 24 42 24 31 34 29 |1,row-row($B$14)| 00000970 2b 31 29 0a 25 56 25 25 52 25 25 54 43 25 69 6e |+1).%V%%R%%TC%in| 00000980 64 65 78 28 24 42 24 31 34 2c 63 6f 6c 2d 63 6f |dex($B$14,col-co| 00000990 6c 28 24 42 24 31 34 29 2b 31 2c 72 6f 77 2d 72 |l($B$14)+1,row-r| 000009a0 6f 77 28 24 42 24 31 34 29 2b 31 29 0a 0a 25 56 |ow($B$14)+1)..%V| 000009b0 25 25 52 25 25 54 43 25 69 6e 64 65 78 28 24 42 |%%R%%TC%index($B| 000009c0 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 24 42 24 31 |$18,col-col($B$1| 000009d0 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 42 24 |8)+1,row-row($B$| 000009e0 31 38 29 2b 31 29 0a 25 56 25 25 52 25 25 54 43 |18)+1).%V%%R%%TC| 000009f0 25 69 6e 64 65 78 28 24 42 24 31 38 2c 63 6f 6c |%index($B$18,col| 00000a00 2d 63 6f 6c 28 24 42 24 31 38 29 2b 31 2c 72 6f |-col($B$18)+1,ro| 00000a10 77 2d 72 6f 77 28 24 42 24 31 38 29 2b 31 29 0a |w-row($B$18)+1).| 00000a20 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 78 28 |%V%%R%%TC%index(| 00000a30 24 42 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 24 42 |$B$18,col-col($B| 00000a40 24 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 |$18)+1,row-row($| 00000a50 42 24 31 38 29 2b 31 29 0a 25 43 4f 3a 45 2c 31 |B$18)+1).%CO:E,1| 00000a60 31 2c 33 30 25 0a 0a 0a 0a 0a 25 52 25 4d 61 74 |1,30%.....%R%Mat| 00000a70 72 69 78 20 4e 20 3a 0a 0a 0a 0a 25 52 25 4d 20 |rix N :....%R%M | 00000a80 2d 20 4e 20 3a 0a 0a 0a 0a 25 52 25 64 65 74 28 |- N :....%R%det(| 00000a90 4d 29 20 3a 0a 0a 0a 0a 25 52 25 4d 25 48 36 25 |M) :....%R%M%H6%| 00000aa0 2d 31 25 48 36 25 20 2a 20 4d 20 3a 0a 0a 0a 0a |-1%H6% * M :....| 00000ab0 0a 0a 25 52 25 4d 61 74 72 69 78 20 4e 20 3a 0a |..%R%Matrix N :.| 00000ac0 0a 0a 25 52 25 4d 20 2d 20 4e 20 3a 0a 0a 0a 25 |..%R%M - N :...%| 00000ad0 52 25 64 65 74 28 4d 29 20 3a 0a 0a 0a 25 52 25 |R%det(M) :...%R%| 00000ae0 4d 25 48 36 25 2d 31 25 48 36 25 20 2a 20 4d 20 |M%H6%-1%H6% * M | 00000af0 3a 0a 25 43 4f 3a 46 2c 37 2c 31 39 25 0a 0a 0a |:.%CO:F,7,19%...| 00000b00 0a 0a 25 56 25 25 52 25 25 4c 43 25 2d 31 0a 25 |..%V%%R%%LC%-1.%| 00000b10 56 25 25 52 25 25 4c 43 25 32 0a 25 56 25 25 52 |V%%R%%LC%2.%V%%R| 00000b20 25 25 4c 43 25 30 0a 0a 25 56 25 25 52 25 25 4c |%%LC%0..%V%%R%%L| 00000b30 43 25 42 36 44 38 2d 46 36 48 38 0a 25 56 25 25 |C%B6D8-F6H8.%V%%| 00000b40 52 25 25 4c 43 25 69 6e 64 65 78 28 24 46 24 31 |R%%LC%index($F$1| 00000b50 30 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 30 29 |0,col-col($F$10)| 00000b60 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 30 |+1,row-row($F$10| 00000b70 29 2b 31 29 0a 25 56 25 25 52 25 25 4c 43 25 69 |)+1).%V%%R%%LC%i| 00000b80 6e 64 65 78 28 24 46 24 31 30 2c 63 6f 6c 2d 63 |ndex($F$10,col-c| 00000b90 6f 6c 28 24 46 24 31 30 29 2b 31 2c 72 6f 77 2d |ol($F$10)+1,row-| 00000ba0 72 6f 77 28 24 46 24 31 30 29 2b 31 29 0a 0a 25 |row($F$10)+1)..%| 00000bb0 56 25 25 52 25 6d 5f 64 65 74 65 72 6d 28 42 36 |V%%R%m_determ(B6| 00000bc0 44 38 29 0a 0a 0a 0a 25 56 25 25 52 25 25 4c 43 |D8)....%V%%R%%LC| 00000bd0 25 6d 5f 6d 75 6c 74 28 42 31 38 2c 42 36 44 38 |%m_mult(B18,B6D8| 00000be0 29 0a 25 56 25 25 52 25 25 4c 43 25 69 6e 64 65 |).%V%%R%%LC%inde| 00000bf0 78 28 24 46 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 |x($F$18,col-col(| 00000c00 24 46 24 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$F$18)+1,row-row| 00000c10 28 24 46 24 31 38 29 2b 31 29 0a 25 56 25 25 52 |($F$18)+1).%V%%R| 00000c20 25 25 4c 43 25 69 6e 64 65 78 28 24 46 24 31 38 |%%LC%index($F$18| 00000c30 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 38 29 2b |,col-col($F$18)+| 00000c40 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 38 29 |1,row-row($F$18)| 00000c50 2b 31 29 0a 0a 0a 0a 25 56 25 25 52 25 25 4c 43 |+1)....%V%%R%%LC| 00000c60 25 2d 31 0a 25 56 25 25 52 25 25 4c 43 25 32 0a |%-1.%V%%R%%LC%2.| 00000c70 0a 25 56 25 25 52 25 25 4c 43 25 42 32 34 43 32 |.%V%%R%%LC%B24C2| 00000c80 35 2d 46 32 34 47 32 35 0a 25 56 25 25 52 25 25 |5-F24G25.%V%%R%%| 00000c90 4c 43 25 69 6e 64 65 78 28 24 46 24 32 37 2c 63 |LC%index($F$27,c| 00000ca0 6f 6c 2d 63 6f 6c 28 24 46 24 32 37 29 2b 31 2c |ol-col($F$27)+1,| 00000cb0 72 6f 77 2d 72 6f 77 28 24 46 24 32 37 29 2b 31 |row-row($F$27)+1| 00000cc0 29 0a 0a 25 56 25 25 52 25 6d 5f 64 65 74 65 72 |)..%V%%R%m_deter| 00000cd0 6d 28 42 32 34 43 32 35 29 0a 0a 0a 25 56 25 25 |m(B24C25)...%V%%| 00000ce0 52 25 25 4c 43 25 6d 5f 6d 75 6c 74 28 42 33 33 |R%%LC%m_mult(B33| 00000cf0 2c 42 32 34 43 32 35 29 0a 25 56 25 25 52 25 25 |,B24C25).%V%%R%%| 00000d00 4c 43 25 69 6e 64 65 78 28 24 46 24 33 33 2c 63 |LC%index($F$33,c| 00000d10 6f 6c 2d 63 6f 6c 28 24 46 24 33 33 29 2b 31 2c |ol-col($F$33)+1,| 00000d20 72 6f 77 2d 72 6f 77 28 24 46 24 33 33 29 2b 31 |row-row($F$33)+1| 00000d30 29 0a 25 43 4f 3a 47 2c 36 2c 31 32 25 0a 0a 0a |).%CO:G,6,12%...| 00000d40 0a 0a 25 56 25 25 52 25 35 0a 25 56 25 25 52 25 |..%V%%R%5.%V%%R%| 00000d50 30 0a 25 56 25 25 52 25 2d 33 0a 0a 25 56 25 25 |0.%V%%R%-3..%V%%| 00000d60 52 25 69 6e 64 65 78 28 24 46 24 31 30 2c 63 6f |R%index($F$10,co| 00000d70 6c 2d 63 6f 6c 28 24 46 24 31 30 29 2b 31 2c 72 |l-col($F$10)+1,r| 00000d80 6f 77 2d 72 6f 77 28 24 46 24 31 30 29 2b 31 29 |ow-row($F$10)+1)| 00000d90 0a 25 56 25 25 52 25 69 6e 64 65 78 28 24 46 24 |.%V%%R%index($F$| 00000da0 31 30 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 30 |10,col-col($F$10| 00000db0 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 |)+1,row-row($F$1| 00000dc0 30 29 2b 31 29 0a 25 56 25 25 52 25 69 6e 64 65 |0)+1).%V%%R%inde| 00000dd0 78 28 24 46 24 31 30 2c 63 6f 6c 2d 63 6f 6c 28 |x($F$10,col-col(| 00000de0 24 46 24 31 30 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$F$10)+1,row-row| 00000df0 28 24 46 24 31 30 29 2b 31 29 0a 0a 0a 0a 0a 0a |($F$10)+1)......| 00000e00 25 56 25 25 52 25 69 6e 64 65 78 28 24 46 24 31 |%V%%R%index($F$1| 00000e10 38 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 38 29 |8,col-col($F$18)| 00000e20 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 38 |+1,row-row($F$18| 00000e30 29 2b 31 29 0a 25 56 25 25 52 25 69 6e 64 65 78 |)+1).%V%%R%index| 00000e40 28 24 46 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 24 |($F$18,col-col($| 00000e50 46 24 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 28 |F$18)+1,row-row(| 00000e60 24 46 24 31 38 29 2b 31 29 0a 25 56 25 25 52 25 |$F$18)+1).%V%%R%| 00000e70 69 6e 64 65 78 28 24 46 24 31 38 2c 63 6f 6c 2d |index($F$18,col-| 00000e80 63 6f 6c 28 24 46 24 31 38 29 2b 31 2c 72 6f 77 |col($F$18)+1,row| 00000e90 2d 72 6f 77 28 24 46 24 31 38 29 2b 31 29 0a 0a |-row($F$18)+1)..| 00000ea0 0a 0a 25 56 25 25 52 25 25 54 43 25 33 0a 25 56 |..%V%%R%%TC%3.%V| 00000eb0 25 25 52 25 25 54 43 25 2d 31 0a 0a 25 56 25 25 |%%R%%TC%-1..%V%%| 00000ec0 52 25 25 54 43 25 69 6e 64 65 78 28 24 46 24 32 |R%%TC%index($F$2| 00000ed0 37 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 32 37 29 |7,col-col($F$27)| 00000ee0 2b 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 32 37 |+1,row-row($F$27| 00000ef0 29 2b 31 29 0a 25 56 25 25 52 25 25 54 43 25 69 |)+1).%V%%R%%TC%i| 00000f00 6e 64 65 78 28 24 46 24 32 37 2c 63 6f 6c 2d 63 |ndex($F$27,col-c| 00000f10 6f 6c 28 24 46 24 32 37 29 2b 31 2c 72 6f 77 2d |ol($F$27)+1,row-| 00000f20 72 6f 77 28 24 46 24 32 37 29 2b 31 29 0a 0a 0a |row($F$27)+1)...| 00000f30 0a 0a 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 |..%V%%R%%TC%inde| 00000f40 78 28 24 46 24 33 33 2c 63 6f 6c 2d 63 6f 6c 28 |x($F$33,col-col(| 00000f50 24 46 24 33 33 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$F$33)+1,row-row| 00000f60 28 24 46 24 33 33 29 2b 31 29 0a 25 56 25 25 52 |($F$33)+1).%V%%R| 00000f70 25 25 54 43 25 69 6e 64 65 78 28 24 46 24 33 33 |%%TC%index($F$33| 00000f80 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 33 33 29 2b |,col-col($F$33)+| 00000f90 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 33 33 29 |1,row-row($F$33)| 00000fa0 2b 31 29 0a 25 43 4f 3a 48 2c 36 2c 30 25 0a 0a |+1).%CO:H,6,0%..| 00000fb0 0a 0a 0a 25 56 25 25 52 25 25 54 43 25 30 0a 25 |...%V%%R%%TC%0.%| 00000fc0 56 25 25 52 25 25 54 43 25 33 0a 25 56 25 25 52 |V%%R%%TC%3.%V%%R| 00000fd0 25 25 54 43 25 2d 32 0a 0a 25 56 25 25 52 25 25 |%%TC%-2..%V%%R%%| 00000fe0 54 43 25 69 6e 64 65 78 28 24 46 24 31 30 2c 63 |TC%index($F$10,c| 00000ff0 6f 6c 2d 63 6f 6c 28 24 46 24 31 30 29 2b 31 2c |ol-col($F$10)+1,| 00001000 72 6f 77 2d 72 6f 77 28 24 46 24 31 30 29 2b 31 |row-row($F$10)+1| 00001010 29 0a 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 |).%V%%R%%TC%inde| 00001020 78 28 24 46 24 31 30 2c 63 6f 6c 2d 63 6f 6c 28 |x($F$10,col-col(| 00001030 24 46 24 31 30 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$F$10)+1,row-row| 00001040 28 24 46 24 31 30 29 2b 31 29 0a 25 56 25 25 52 |($F$10)+1).%V%%R| 00001050 25 25 54 43 25 69 6e 64 65 78 28 24 46 24 31 30 |%%TC%index($F$10| 00001060 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 30 29 2b |,col-col($F$10)+| 00001070 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 30 29 |1,row-row($F$10)| 00001080 2b 31 29 0a 0a 0a 0a 0a 0a 25 56 25 25 52 25 25 |+1)......%V%%R%%| 00001090 54 43 25 69 6e 64 65 78 28 24 46 24 31 38 2c 63 |TC%index($F$18,c| 000010a0 6f 6c 2d 63 6f 6c 28 24 46 24 31 38 29 2b 31 2c |ol-col($F$18)+1,| 000010b0 72 6f 77 2d 72 6f 77 28 24 46 24 31 38 29 2b 31 |row-row($F$18)+1| 000010c0 29 0a 25 56 25 25 52 25 25 54 43 25 69 6e 64 65 |).%V%%R%%TC%inde| 000010d0 78 28 24 46 24 31 38 2c 63 6f 6c 2d 63 6f 6c 28 |x($F$18,col-col(| 000010e0 24 46 24 31 38 29 2b 31 2c 72 6f 77 2d 72 6f 77 |$F$18)+1,row-row| 000010f0 28 24 46 24 31 38 29 2b 31 29 0a 25 56 25 25 52 |($F$18)+1).%V%%R| 00001100 25 25 54 43 25 69 6e 64 65 78 28 24 46 24 31 38 |%%TC%index($F$18| 00001110 2c 63 6f 6c 2d 63 6f 6c 28 24 46 24 31 38 29 2b |,col-col($F$18)+| 00001120 31 2c 72 6f 77 2d 72 6f 77 28 24 46 24 31 38 29 |1,row-row($F$18)| 00001130 2b 31 29 0a |+1).| 00001134