If a 3 3 matrix A has its inverse equal to A, then A^2= ______ - Vidyadip

MCQ

If a $3 \times 3$ matrix $A$ has its inverse equal to $A$, then $A^2=$ ______

A
`[(0, 1, 1), (0, 1, 0), (1, 0, 1)]`
B
`[(1, 0, 1), (0, 1, 0), (0, 0, 0)]`
✓
`[(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
D
`[(1, 1, 1), (1, 1, 1), (1, 0, 1)]`

✓

Answer

Correct option: C.

`[(1, 0, 0), (0, 1, 0), (0, 0, 1)]`

C

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