Determine if the vector u is in the column space of matrix A and whether it is in the null space of A.\\
\begin{bmatrix} 3\\2\\1 \end{bmatrix}, A = \begin{bmatrix} 1 & 0 & 3\\-2 & -1 & -4\\3 & -1 & 6 \end{bmatrix}\\
Not in Col A, not in Nul A\\In Col A and in Nul A\\In Col A, not in Nul A\\Not in Col A, in Nul A\\QUESTION 3\\Find the vector x determined by the given coordinate vector $[x]_B$ and the given basis $B.\\B = \begin{Bmatrix} \begin{bmatrix} 1\\-3\\-2 \end{bmatrix}, \begin{bmatrix} -3\\8\\-5 \end{bmatrix}, \begin{bmatrix} 2\\-2\\5 \end{bmatrix} \end{Bmatrix}, [x]_B = \begin{bmatrix} 1\\-4\\-2 \end{bmatrix}