Chapter 5.4, Problem 16E

In Exercise $15-17$, use the basis $B$ of Exercise $11$ and property $2$ of Theorem $5$ to test for linear independence in the vector space of $\left(2\times 2\right)$ matrices.

$A_1=\left[\begin{array}{cc}1& 3\\ 2& 1\end{array}\right]$, $A_2=\left[\begin{array}{cc}4& -2\\ 0& 6\end{array}\right]$

$A_3=\left[\begin{array}{cc}6& 4\\ 4& 8\end{array}\right]$