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REM "" Law 3andak mashakel fel copy, 5odha men 3l link dah: http://pastebin.com/raw.php?i=z9wbsCiS REM Computing Inverse of a Matrix by using the Adjoint Matrix Method REM Ver 0.3 'input "size? "; size //TODO 'USER INTERACTION print "Computing Inverse of a Matrix by using the Adjoint Matrix Method" input "Show Steps ? (yes?)"; ans$ if ans$ = "1" or lower$(ans$) = "yes" then debug = 1 else if ans$ = "2" or lower$(ans$) = "debug" then debug = 2 end if size = 3 '7gm el matrix DIM orig(size+1,size+1) for r = 1 to size for c = 1 to size input "Row :";r;" Column :";c;" :"; orig(r,c) next c next r REM ~~ START dim modi(size, size) CrossX = 1 'X coord of the value which minor we want CrossY = 1 'Y coord of same n = 0 'Where to "goto" after execution goto 80 'ro7 e7seb el minor 10 'back Determinant = Det(orig, 3, 0) 'Calculate Determinant print if Determinant <> 0 then print "Determinant: "; Determinant else print "|A| = 0, No Inverse exists for Zero-Matrix" end end if if debug > 0 then print "Minors:" end if '------------------------------------- ne7seb el cofactors DIM co(size+1,size+1) 'CoFactor Matrix for Roww = 1 to size for Coll = 1 to size CrossX = Roww CrossY = Coll n = 2 goto 80 'Minor 40 'back if debug > 0 then for r = 1 to size-1 print print chr$(5); for c = 1 to size-1 print modi(r,c), next c print chr$(5); next r end if co(Roww,Coll) = Det(modi, size-1, 1) 'print ">";co(Roww,Coll) if debug > 0 then print "*";orig(Roww,Coll) next Coll next Roww '- ne5aiar el esharat we n2leb el matrix we n2sem 3l determinant dim inv(size+1,size+1) for r = 1 to size for c = 1 to size inv(r,c) = co(c,r) * -1^(r+c) / Determinant if debug > 1 then print inv(r,c) next c if debug > 0 then print next r print 'nekteb el nateg 'print "!!!!!" print chr$(23);"Inverse" , " " ,"","";chr$(2) 'awel satr for r = 1 to size print chr$(5) ; for c = 1 to size if int(inv(r,c)) = inv(r,c) then print inv(r,c), if int(inv(r,c)) <> inv(r,c) then if int(inv(r,c)*abs(Determinant))^2 = abs(inv(r,c)*Determinant)^2 then print int(inv(r,c)*abs(Determinant)) ; "/" ; abs(Determinant), else print inv(r,c)*abs(Determinant) ; "/" ; abs(Determinant), end if end if 'print Determinant/abs(Determinant) *inv(r,c)*Determinant ;"/"; abs(Determinant) next c print chr$(5) next r print chr$(3);"" , " " ,"","";chr$(4) 'el a5eer end 'The 80 ' e7seb el minor lel 3onsor(CrossX, CrossY) fel matrix orig(n*n) : n = size x = 1 y = 1 for nRow = 1 to size if nRow <> CrossX then for nCol = 1 to size if nCol <> CrossY then modi(x,y) = orig(nRow,nCol) if y >= size-1 then x = x+1 y = 0 end if y = y + 1 end if next nCol end if next nRow if n = 0 then goto 10 if n = 1 then goto 94 if n = 2 then goto 40 'print Det(orig, 3, 1) Function Det(orig, DetSize, InsideJob) if InsideJob then DIM basicsucks(DetSize,DetSize) for r = 1 to DetSize for c = 1 to DetSize basicsucks(r,c) = modi(r,c) next c next r else DIM basicsucks(DetSize,DetSize) for r = 1 to DetSize for c = 1 to DetSize basicsucks(r,c) = orig(r,c) next c next r end if if DetSize = 1 then Det = orig(1,1) if DetSize = 2 then Det = basicsucks(1,1) * basicsucks(2,2) - basicsucks(2,1) * basicsucks(1,2) if debug > 1 then print "[";orig(1,1);"*";orig(2,2);"-"; print orig(2,1);"*" ;orig(1,2);"]" end if end if if DetSize > 2 then 'for row = 1 to DetSize row = 1 for col = 1 to DetSize CrossX = row CrossY = col pass = 1 goto 96 94 'code 'for r = 1 to DetSize-1 'for c = 1 to DetSize -1 'print modi(r,c), 'next c 'print 'next r 'print if debug > 1 then print "Det= ";Det ," + (-1)^";(row+col);" * "; print orig(row,col);"*";Det(modi,DetSize-1,1); end if Det = Det + (-1)^(row+col) * basicsucks(row,col) * DuoDet(modi, DetSize - 1, 1) if debug > 1 then print "= ",Det next col 'next row end if 96 if pass = 1 then 'DIM modi(DetSize-1,DetSize-1) x = 1 y = 1 for nRow = 1 to DetSize if nRow <> CrossX then for nCol = 1 to DetSize if nCol <> CrossY then modi(x,y) = orig(nRow,nCol) if debug > 1 then print orig(nRow,nCol) if y >= DetSize-1 then x = x+1 y = 0 end if y = y + 1 end if next nCol end if next nRow pass = 0 goto 94 end if end function Function DuoDet(modi, DetSize, hmmm) DuoDet = modi(1,1) * modi(2,2) - modi(2,1) * modi(1,2) End function function GCD(u, v) if v then GCD = GCD(v, u mod v) else GCD = abs(u) end if end function
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