text 1 left5 text points if n in mathbbn text and a in mathbbr2 n1 tim
Search for question
Question
\text { 1. }\left(5 \text { points) If } n \in \mathbb{N} \text { and } A \in \mathbb{R}^{(2 n+1) \times(2 n+1)}, A^{T}=-A\right. \text { , } show that A
is not invertible. Hint: start by taking the determinant of both sides.