Express the matrix `A =[[7,1,5],[-4,0,3],[-2,6,1]]` as the sum of a symmetric and a skew-symmetric matrices.

Express the matrix [(7,1,5),(-4,0,3),(-2,6,1)] as the sum of a symmetric and a skew symmetric matrices.

Express the matrix A=[(1,3,5),(-6,8,3),(-4,6,5)] as the sum of a symmetric and a skew - symmetric matrices.

Express [(3,2,-4),(4,2,-3),(0,5,1)] as sum of symmetric and skew symmetric matrix.

If A is symmetric as well as skew-symmetric matrix, then A is

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

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

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

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.

The rank of the matrix [[2,-1,2,4],[3,1,4,-1],[5,0,6,3]] is :

Statement 1: Matrix 3xx3,a_(i j)=(i-j)/(i+2j) cannot be expressed as a sum of symmetric and skew-symmetric matrix. Statement 2: Matrix 3xx3,a_(i j)=(i-j)/(i+2j) is neither symmetric nor skew-symmetric