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A and B are two non singular matrices such that B is not equal to I (Identity Matrix). A^6 = I and A.B^2 = BA. Find the least value of k for which B^k= I.

A and B are two non singular matrices such that B is not equal to I (Identity Matrix). 
A^6 = I and A.B^2 = BA.
Find the least value of k for which B^k= I.

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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