Question: A square matrix A satisfies AT= -A. Show that a) (5 points) I- A is always invertible. (2 points for demonstration by an example)

A square matrix A satisfies AT= -A. Show that a) (5 points) I- A is always invertible. (2 points for demonstration by an example)

A square matrix A satisfies AT= -A. Show that a) (5 points) I- A is always invertible. (2 points for demonstration by an example) (b) (5 points) Q = (IA)-(I + A) is an orthogonal matrix. (2 points for demonstration by an example)

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