題組內容

1. Give the following matrix A:

$$\mathbf{A} = \begin{bmatrix} 2 & 1 & 3 \\ 4 & 0 & -1 \\ -1 & 2 & 5 \end{bmatrix}.$$

(c) \( (6\%) \) Verify that \( \mathbf{A} \) satisfies the fundamental subspaces theorem.