Question

Linear Algebra: Show that every square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.

Answer 1

what does that mean?

Answer 2

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Let A be a symmetric matrix

a skew-symmetric (or antisymmetric or antimetric[1]) matrix is a square matrix A whose transpose is also its negative