B5 Finding The Inverse Of A Square Matrix

If A is square and nonsingular (that is, |A| = 0), its inverse A-1 can be found as follows:

924 APPENDIX B: RUDIMENTS OF MATRIX ALGEBRA

The steps involved in the computation are as follows:

1. Find the determinant of A. If it is nonzero, proceed to step 2.

2. Replace each element a{j of A by its cofactor to obtain the cofactor matrix.

3. Transpose the cofactor matrix to obtain the adjoint matrix.

4. Divide each element of the adjoint matrix by | A |.

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