Chapter 4.5, Problem 17P

For Problem 16-18, determine whether the given set of vectors is linearly independent in $M_2\left(ℝ\right)$.

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