det(A) ! = 0 , for inverse to exist.
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Yes, my bad. The determinant must be different from 0 if the inverse
exists.
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One way of doing this is to use gaussian elimination. If the matrix to
invert is A, the inversion of A is A' and the identity matrix is I,
then the algorithm is:
Row reduce A until it is I. If you now use the same row reductions on
I, you get A'.
The reduction of A can be written:
E1 E2
