A is symmetric matrix if `A^T`=

Show that A=[(1,5,6),(5,2,7),(6,7,3)] is a symmetric matrix as A^T =A .

Let Aa n dB be two nonsinular square matrices, A^T a n dB^T are the transpose matrices of Aa n dB , respectively, then which of the following are correct? B^T A B is symmetric matrix if A is symmetric B^T A B is symmetric matrix if B is symmetric B^T A B is skew-symmetric matrix for every matrix A B^T A B is skew-symmetric matrix if A is skew-symmetric

A is said to be skew-symmetric matrix if A^(T) = a)A b)-A c) A^2 d) A^3

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

Prove that A=[(0,1,2),(-1,0,3),(-2,-3,0)] is a skew symmetric matrix as A^T =-A .

If A is symmetric matrix, then B'AB is............

Let A be a square matrix.Then prove that (i)A+A^(T) is a symmetric matrix,(ii) A-A^(T) is a skew-symmetric matrix and (iii)AA^(T) and A^(T)A are symmetric matrices.

If A is square matrix, A+A^(T) is symmetric matrix, then A-A^(T) =

Define a symmetric matrix.Prove that for A=[2456],A+A^(T) is a symmetric matrix where A^(T) is the transpose of A

If A is a symmetric matrix,write whether A^(T) is symmetric or skew-symmetric.