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 $\underline{b} = \begin{bmatrix} 2 \\ 3 \\ 0 \\ -1 \end{bmatrix}$.

d. (10%) Decompose $\underline{b} = \underline{b}_1 + \underline{b}_2$, where $\underline{b}_1 \in C(A)$ and $\underline{b}_2 \in N(A^T)$, i.e. find $\underline{b}_1$ and $\underline{b}_2$.