Find $A$ if $\left[\begin{array}{l}4\\ 1\\ 3\end{array}\right]A=\left[\begin{array}{lll}-4& 8& 4\\ -1& 2& 1\\ -3& 6& 3\end{array}\right]$

Find $B$ if $B^2=\left[\begin{array}{rr}17& 8\\ 8& 17\end{array}\right]$

Find $x$ and $y$ when $\left[\begin{array}{rr}1& 3\\ 2& -1\end{array}\right]\left[\begin{array}{l}x\\ y\end{array}\right]=\left[\begin{array}{l}4\\ 1\end{array}\right]$.

Find $AB$, and $BA$ given that $A=\left[\begin{array}{ll}0& 1\\ 1& 0\end{array}\right]$, and $B=\left[\begin{array}{ll}2& 3\\ 4& 1\end{array}\right]$.

Find $AB$, and $BA$ given that $A=\left[\begin{array}{ll}7& 5\\ 6& 4\end{array}\right]$, and $B=\left[\begin{array}{ll}1& 0\\ 0& 1\end{array}\right]$.

Find $AB$, and $BA$ given that $A=\left[\begin{array}{rr}1& -1\\ 2& 3\end{array}\right],$ and $B=\left[\begin{array}{rr}4& 2\\ -1& -2\end{array}\right]$.

Find $AB$, and $BA$ given that $A=\left[\begin{array}{ll}1& 2\\ 2& 5\end{array}\right]$, and $B=\left[\begin{array}{rr}5& -2\\ -2& 1\end{array}\right]$.

Evaluate:

$\left[\left[\begin{array}{cc}2& 1\end{array}\right]+2\left[\begin{array}{cc}0& -2\end{array}\right]\right]\left[\begin{array}{rrr}2& 1& 3\\ 1& -2& 0\end{array}\right]$

Evaluate:

$\left[\left[\begin{array}{ll}1& 2\\ 3& 0\end{array}\right]+\left[\begin{array}{rr}1& -2\\ 2& 3\end{array}\right]\right]\left[\begin{array}{l}2\\ 1\end{array}\right]$