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Question
If a 3 × 3 matrix A has its inverse equal to A, then A2 = ______
Options
`[(0, 1, 1), (0, 1, 0), (1, 0, 1)]`
`[(1, 1, 1), (1, 1, 1), (1, 0, 1)]`
`[(1, 0, 1), (0, 1, 0), (0, 0, 0)]`
`[(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
MCQ
Fill in the Blanks
Solution
If a 3 × 3 matrix A has its inverse equal to A, then A2 = `underline([(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
Explanation:
`A^-1 = A`
⇒ `A^-1 A = A. A`
⇒ `A^2 = I = [(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
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