題組內容

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

(b) \( (3\%) \) Are vectors \( \vec{a}1, \vec{a}2, \vec{a}3 \), and \( \vec{a}4 \) linearly independent? Explain why or why not.