If `A^(2) = A*B^(2) = B`and `AB=BA` ,then the number of distinct real values that `det (A-B)` can take (here A,B are two `3xx3` matrices)

If AneB, AB = BA and A^(2)=B^(2) , then the value of the determinant of matrix A+B is (where A and B are square matrices of order 3xx3 )

Let A and B are 3xx3 matrices with real number entries, where A is symmetric, B is skew - symmetric and (A+B)(A-B)=(A-B)(A+B) . If (AB)^(T)=(-1)^(k)AB , then the sum of all possible integral value of k in [2, 10] is equal to (where A^(T) represent transpose of matrix A)

The number of matrices of A of order 2xx2 such that AB-BA=l, where B is a given matrix,

If A and B are square matrices of order 3 such that det(A)=-2 and det(B)=4, then : det(2AB)=

Let A and B be two 3xx3 invertible matrices . If A + B = AB then

If the square matrices A and B are such that AB=A and BA=B, then

Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What is det (2AB) equal to ?

Let A=[(2,3),(5,7)] and B=[(a, 0), (0, b)] where a, b in N . The number of matrices B such that AB=BA , is equal to

A and B be 3xx3 matrices such that AB+A=0 , then