題組內容
5 Suppose that $A \in M_{n \times n}(\mathbb{R})$. Let $T : M_{n \times n}(\mathbb{R}) \to M_{n \times n}(\mathbb{R})$ be defined by T(X) = AX - XA.
a. (5) Show that T is a linear transformation.
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5 Suppose that $A \in M_{n \times n}(\mathbb{R})$. Let $T : M_{n \times n}(\mathbb{R}) \to M_{n \times n}(\mathbb{R})$ be defined by T(X) = AX - XA.
a. (5) Show that T is a linear transformation.