Let A and B are two matrices such that `AB = BA,` then
for every `n in N`

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=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

If A and B are two matrices such that A+B and AB are both defind, then

If A and B are square matrices such that AB = BA then prove that A^(3)-B^(3)=(A-B) (A^(2)+AB+B^(2)) .

Let A=[(1, 2),(3, 4)] and B=[(p,q),(r,s)] are two matrices such that AB = BA and r ne 0 , then the value of (3p-3s)/(5q-4r) is equal to

Let A ,B be two matrices such that they commute, then for any positive integer n , (i) A B^n=B^n A (ii) (A B)^n =A^n B^n

If A and B are two matrices such that rank of A = m and rank of B = n, then

If A and B are any two 2 xx 2 matrices such that AB=BA=B and B is not a zero matrix, what can you say about the matrix A ?

Let A and B be two matrices such that the order of A is 5xx7 . If A^(T)B and BA^(T) are both defined, then (where A^(T) is the transpose of matrix A)

If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to