Say true or false:
If A is a periodic matrix with period 2, then $A^{6} = A$ .

True

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False

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Solution

The correct option is B False
If $A$ if periodic matrix with period $n$ then $A^{n + 1} = A$
Hence $A^{6} = {(A^{3})}^{2} = {(A^{2 + 1})}^{2} = A^{2}$

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