A square matrix A such that $A^{k} = A$ for a positive integer k is called a periodic matrix.

True

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False

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Solution

The correct option is B
False

We have discussed that for a square matrix A to be called a periodic matrix it should satisfy $A^{k + 1} = A$ and not $A^{k} = A$ as mentioned in the question.

Hence the statement is false.

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