Question: In problem determine whether the given matrix is singular or nonsingular. If it is nonsingular, find A -1 using Theorem II.2. Theorem II.2. Let A

In problem determine whether the given matrix is singular or nonsingular. If it is nonsingular, find A-1 using Theorem II.2.

A - (C,)". det A


Theorem II.2.

Let A be an n × n nonsingular matrix and let Cij = (-1)i+jMij, where Mij is the determinant of the (n - 1) × (n - 1) matrix obtained by deleting the ith row and jth column from A. Then

A - (C,)

A - (C,)". det A

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