1. Form the matrix vector product of \begin{align*} \begin{bmatrix} 2 & 3 & -1 & 0\\ 1 & -2 & 7 & 3\\ 1 & 5 & 3 & 2\\ \end{bmatrix} &&\text{with}&& \colvector{2\\-3\\0\\5} \end{align*}
2. Multiply together the two matrices below (in the order given). \begin{align*} \begin{bmatrix} 2 & 3 & -1 & 0\\ 1 & -2 & 7 & 3\\ 1 & 5 & 3 & 2\\ \end{bmatrix} && \begin{bmatrix} 2 & 6\\ -3 & -4\\ 0 & 2\\ 3 & -1\\ \end{bmatrix} \end{align*}
3. Rewrite the system of linear equations below as a vector equality and using a matrix-vector product. (This question does not ask for a solution to the system. But it does ask you to express the system of equations in a new form using tools from this section.) \begin{align*} 2x_1 + 3x_2 - x_3 &= 0\\ x_1 + 2x_2 + x_3 &= 3\\ x_1 + 3x_2 + 3x_3 &= 7 \end{align*}