題組內容
2. Let
$$\mathbf {A} = \left[ \begin{array}{c c c c} 1 & - 2 & - 1 & 2 \\ 2 & - 1 & 3 & 1 \\ - 1 & 1 & - 1 & - 1 \end{array} \right].$$
(b) \( (5\%) \) Verify the rank-nullity theorem for A.
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2. Let
$$\mathbf {A} = \left[ \begin{array}{c c c c} 1 & - 2 & - 1 & 2 \\ 2 & - 1 & 3 & 1 \\ - 1 & 1 & - 1 & - 1 \end{array} \right].$$
(b) \( (5\%) \) Verify the rank-nullity theorem for A.