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

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1 A = -2 2.