3x3 matrix is formed taking elements from the set {0,1} .Given the condition that its trace is 2,then the probability that it is a diagonal matrix or symmetric matrix is

The diagonal elements of a skew-symmetric matrix are:

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

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

Let a matrix M of order 3xx3 has elements from the set {0,1,2}. How many matrices are possible whose sum of diagonal elements is 7 of matrix M^T*M

Prove that diagonal elements of a skew symmetric matrix are all zeroes.

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero.

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.

If all the diagonal elements in a diagonal matrix is 0, then it is a ________ matrix.

Which one of the following is wrong? 1.The elements on the main diagonal of a symmetric matrix are all zero 2. The elements on the main diagonal of a skew-symmetric matrix are all zero 3. For any square matrix A,(1)/(2)(A+A') is symmetric 4. For any square matrix A,(1)/(2)(A-A') is skew-symmetric