Suppose \(A\) and \(B\) are two non singular matrices such that \(B\) is not an identity matrix. If \(A^6\) is an identity matrix and \(AB^2 = BA\). Find the least positive integral value of k such that \(B^K\) is an Identity matrix............. I got one answer as 63 but could not prove that it's the least...

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How?

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