題組內容

5. Given $\vec{a}1 = (1, 4, 3)^T$, $\vec{a}2 = (-1, -2, 0)^T$, $\vec{a}3 = (0, 0, 1)^T$, $\vec{a}4 = (2, 2, 3)^T$.



(a) \( (2\%) \) Is \( \{\vec{a}1,\vec{a}2,\vec{a}_4\} \) a spanning set for \( \mathbb{R}^3? \) Explain why or why not.