Question

If A and B are symmetric matrices, then find BA − 2AB .

Answer 1

Toolbox:

A square matrix A=[aij] is said to be skew symmetric if A'=-A that is [aij]=−[aji] for all possible value of i and j.

A square matrix A=[aij] is said to be symmetric if A'=A that is [aij]=[aji] for all possible value of i and j.

Given

A and B are symmetric matrices

→ A=A'

→B=B'

BA-2AB is a neither symmetric nor skew symmetric matrix.