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# 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 Rating: Rate this question: N/A Worst Weak OK Good Great 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 Rating: Rate this answer: N/A Worst Weak OK Good Great 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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