Mathematics · Matrices and Determinants

If A is a square matrix such that |A| ≠ 0 and A2 - A + 2I = 0, where I is the identity matrix, then find the inverse matrix A-1.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

112(I + A)
212(I - A)✓
3I + A
4I - A

Correct answer

12(I - A)

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If A is a square matrix such that |A| ≠ 0 and A2 - A + 2I = 0, where I is the identity matrix, then find the inverse matrix A-1.

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If A is a square matrix such that |A| ≠ 0 and A2 - A + 2I = 0, where I is the identity matrix, then find the inverse matrix A-1.

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