Use the method given in Corollary 3.4 to find the inverse ofCorollaryIf A is an n × n matr...

Use the method given in Corollary 3.4 to find the inverse of

Corollary

If A is an n × n matrix and det(A)≠ 0, then

Proof

By Theorem 3.12, A(adj A) = det(A)In, so if det(A) ≠ 0, then

Hence