題組內容

二、 Linear Algebra
1. (20 points) A square matrix is called skew-symmetric if $B^T = -B$. For any square matrix $A$, prove that

c. \( \pmb{x}^{\top}(A - A^{\top})\pmb{x} = 0 \) for all \( \pmb{x}\in \mathfrak{R}^n \)