Question

Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`

Answer 1

`A + A^T=[(2  4),(3  5)] + [(2  3),(4  5)] = [(4  7),(7  10)]`

∴ `(A + A^T)^T = [(4  7),(7  10)]=(A + A^T)`

∴ A + A^T is symmetric matrix.