Suppose `A` and `B` are two non singular matrices such that `B != I, A^6 = I` and `AB^2 = BA`. Find the least value of `k` for `B^k = 1`

Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

Let A and B are two non - singular matrices such that AB=BA^(2),B^(4)=I and A^(k)=I , then k can be equal to

Let A and B are two non - singular matrices such that AB=BA^(2),B^(4)=I and A^(k)=I , then k can be equal to

A and B are two non - singular matrices such that A^(6) = I and AB^(2) = BA( B != I) . A value of k so that B^(k) = I is a)31 b)32 c)64 d)63

Suppose A and B are two 3xx3 non singular matrices such that tr (AB) = 7.57 then tr (BA+I_(3)) = ______

If A and B are non-singular matrices such that B^(-1)AB=A^(3), then B^(-3)AB^(3)=

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

If A, B are two non-singular matrices of same order, then