If `A=[[3,-4], [1,-1]]` , show that `A-A^T` is a skew symmetric matrix.

If A=[[3,4],[5,1]] , show that A-A^T is a skew symmetric matrix, where A^T denotes the transpose of matrix A

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

If A=[[2, 3], [4, 5]] , prove that A-A^T is a skew-symmetric matrix.

If the matrix A=((2,3),(4,5)) , then show that A-A^(T) is a skew-symmetric matrix.

If A=[[4,1],[5,8]] , show that A+A^T is symmetric matrix, where A^T denotes the transpose of matrix A

Express the matrix A=[[3,-4], [1,-1]] as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix B=[[2,-2,-4],[-1, 3,4],[ 1,-2,-3]] as the sum of a symmetric and skew symmetric matrix.

(i) Show that the matrix A=[[1,-1, 5],[-1, 2, 1],[ 5, 1, 3]] is a symmetric matrix. (ii) Show that the matrix A=[[0, 1,-1],[-1, 2, 1],[ 1,-1, 0]] is a skew symmetric matrix.

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

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