題組內容
4. Let $T$ be the linear operator on $\mathsf{M}_{n \times n}(\mathbb{R})$ defined by $T(A) = A^t$.
(a) (6 pts) Show that \( \pm 1 \) are the only eigenvalues of \( T \).
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4. Let $T$ be the linear operator on $\mathsf{M}_{n \times n}(\mathbb{R})$ defined by $T(A) = A^t$.
(a) (6 pts) Show that \( \pm 1 \) are the only eigenvalues of \( T \).