(Solved): \#1 RREF First, (1) use Gaussian elimination (as defined on the handout) to compute the RREF of \( ...

\#1 RREF First, (1) use Gaussian elimination (as defined on the handout) to compute the RREF of \( A \). Then, (2) give a vector version of the general solution of \( A \mathbf{x}=\mathbf{0} \). Finally, (3) suppose \( A=[C: \mathbf{b}](C \) is all but the last column and \( \mathbf{b} \) is the last column of \( A \) ). Give a vector form of the general solution of \( C \mathbf{x}=\mathbf{b} \). (a) \( A=\left[\begin{array}{ccccc}1 & -2 & 0 & 2 & 3 \\ 2 & -4 & 1 & 5 & 4 \\ -1 & 2 & 1 & -1 & -5\end{array}\right] \) (b) \( A=\left[\begin{array}{cccc}0 & 1 & 3 & 1 \\ 2 & 0 & 4 & 2 \\ 1 & -1 & -1 & 3\end{array}\right] \)