# Test: Matrices I - Ambitious

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Question 1:   Find $2A+3B$ for $A=\left[\begin{array}{cc}2& 3\\ 1& 5\end{array}\right]$and $B=\left[\begin{array}{cc}0& 4\\ 3& 1\end{array}\right]$
$\left[\begin{array}{cc}4& 17\\ 10& 21\end{array}\right]$
$\left[\begin{array}{cc}4& 16\\ 9& 19\end{array}\right]$
$\left[\begin{array}{cc}4& 12\\ 15& -4\end{array}\right]$
$\left[\begin{array}{cc}4& 18\\ 11& 13\end{array}\right]$
Question 2:   Find $\frac{1}{2}A-\frac{1}{3}B$ for $A=\left[\begin{array}{cc}4& 2\\ 6& 8\end{array}\right]$ and $B=\left[\begin{array}{cc}9& 15\\ 12& 6\end{array}\right]$
$\left[\begin{array}{cc}-2& -5\\ -3& 4\end{array}\right]$
$\left[\begin{array}{cc}-1& -4\\ -1& 2\end{array}\right]$
$\left[\begin{array}{cc}1& -3\\ -2& 4\end{array}\right]$
$\left[\begin{array}{cc}2& -1\\ 4& -1\end{array}\right]$
Question 3:   Find $2A-3B+4C$ for $A=\left[\begin{array}{cc}3& 5\\ -1& 4\end{array}\right]$, $B=\left[\begin{array}{cc}0& -5\\ 7& 8\end{array}\right]$ and $C=\left[\begin{array}{cc}-1& 2\\ -5& 3\end{array}\right]$
$\left[\begin{array}{cc}-11& 18\\ -34& 3\end{array}\right]$
$\left[\begin{array}{cc}2& 33\\ -43& -4\end{array}\right]$
$\left[\begin{array}{cc}7& -23\\ 18& 5\end{array}\right]$
$\left[\begin{array}{cc}3& 27\\ -23& 5\end{array}\right]$
Question 4:   Find ${A}^{2}$ for $A=\left[\begin{array}{cc}2& 1\\ 3& 4\end{array}\right]$
$\left[\begin{array}{cc}5& 3\\ 15& 16\end{array}\right]$
$\left[\begin{array}{cc}4& 1\\ 9& 16\end{array}\right]$
$\left[\begin{array}{cc}7& 6\\ 18& 19\end{array}\right]$
$\left[\begin{array}{cc}4& 1\\ 9& 16\end{array}\right]$
Question 5:   Find ${A}^{2}$ for $A=\left[\begin{array}{cc}-3& 5\\ 2& -4\end{array}\right]$
$\left[\begin{array}{cc}19& -35\\ -14& 26\end{array}\right]$
$\left[\begin{array}{cc}-6& 10\\ 4& -8\end{array}\right]$
$\left[\begin{array}{cc}9& 25\\ 4& 16\end{array}\right]$
$\left[\begin{array}{cc}16& -30\\ -12& 22\end{array}\right]$
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