I need a program to compute the inverse and the transpose of...

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Question by sharaid
Submitted on 11/6/2003
Related FAQ: Available C++ Libraries FAQ
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I need a program to compute the inverse and the transpose of a 3*3 matrix A.Applying the program to the case where A= 1 -1 2 2 0 1 0 3 1

Answer by Asmodean
Submitted on 3/11/2004
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Transpose: trans(i,j) = A(j, i); Inverse: write method for calculating cofactor: Cofactor(Aij)=(-1)^(i+j)Dij Where Dij is the sub-determinant of the matrice A when row i and column j has been deleted. This can be used recursively to get the determinant of any matrice, just go down till you get to base case (1x1 or 2x2). Inverse: D = det(A); if D != 0, inverse exists invAij = (1 / D)*Aji Translating this to actual code should not be any problem IMO. This sounds lika a typical homework assignment so....

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