Question

For any square matrix A, show that AAtranspose is symmetric give an example

Answer 1

Symmetric Matrix. It is symmetric matrix because aij = aji for all i and j. Here, a12 = a21= 3, a13 = a31= 8 and a23 = a32 = -4 In other words, the transpose of Matrix A is equal to Matrix A itself (AT=A) which means matrix A is symmetric.