If `A=[{:(4,5),(1,8):}]`, show that `(A+A')` is symmetric.

If A=[{:(2,3),(4,5):}] , show that (A-A') is skew-symmetric.

if A=[[4,15,8]] show that A+A' is symmetric

If A = [(3,-5),(-4,2)] then show that A+A' is a 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

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

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

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

If A=[{:(,5,a),(,b,0):}] and A is symmetric matrix, show that a=b.