a) Let A and B be symmetric matrices of the same size.
Prove that AB is symmetric if and only
b) Find symmetric
matrices A and B such that
Prove that AB is symmetric if and only
b) Find symmetric
matrices A and B such that
Find an explicit description of Nul A by listing vectors that span the null space.
Assume that A is row equivalent to B. Find bases for Nul A and Col A.