題組內容

二、(50%)Linear Algebra(請依序解答並須清楚完整,始得完全分數)
1. Let $A = \begin{bmatrix} 0 & 1 \\ 2 & 1 \\ 1 & 1 \\ 1 & 0 \end{bmatrix}$ and $\underline{b} = \begin{bmatrix} 2 \\ 3 \\ 0 \\ -1 \end{bmatrix}$.

b. (5%) Find the column space C(A) and the left null space $N(A^T)$ of A.