1 (10) Let $T: \mathbb{R}^n \to \mathbb{R}^m$ be a linear transformation. Show that
$$n = \operatorname{rank}(T) + \operatorname{nullity}(T).$$
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1 (10) Let $T: \mathbb{R}^n \to \mathbb{R}^m$ be a linear transformation. Show that
$$n = \operatorname{rank}(T) + \operatorname{nullity}(T).$$