Using the elements `-3, -2,-1, 0, 1, 2, 3` A. the number of `3xx3` matrices having trace 0 is 35.

The number of 2 xx 2 matrices having elements 0 and 1 is

A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(A A^T) =3 . Where tr(A) is the trace of A.

Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

Matrices of order 33 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} then probability that matrix is either symmetric or skew symmetric is

A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(AxxA^T) =3 . Where tr(A) is the trace of A.

Let A = [[0,1,0],[1,0,0],[0,0,1]] . Then the number of 3 xx 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is _______.