If `A=[(1,5),(6,7)]`, verify that `A+A'` is a symmetric matrix and `A-A'` is a skew-symmetric matrix.

Express [(2,3,4),(5,6,-2),(1,4,5)] as the sum of a symmetric matrix and a skew-symmetric matrix.

If A and B are symmetric matrices, then prove that AB +BA is a symmetric matrix.

Prove that a matrix which is symmetric as well as skew-symmetric is a null matrix.

If A=[(2,3),(1,0)]=P+Q , where P is symmetric and Q is skew-symmetric, then find the matrix P.

If [(1,2,-1),(x,3,y),(-1,6,4)] is a symmetric matrix, then find x and y

Express the matrix A as the sum of a symmetric matrix and a skew-symmetric matrix, where A=[(2,4,-6),(7,3,5),(1,-2,4)]

If [(5,6,7)] A= [(1,3,2,3)] then what is the order of matrix A ?

Prove tha tany square matrix can be expressed uniquely as the sum of a symmetric and a skew-symmetric matrix.

Prove that the diagonal elements of a skew-symmetric matrix are all zero

If A=[(1,2),(3,4)] , find a matrix B such that AB=I .