Question
Given $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $B=\left|\begin{array}{l}-4-1 \\ -3-2\end{array}\right|$ Find the matrix $2A + B$
✓
Answer
$2\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]+\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$
$=\left[\begin{array}{ll}2 & 8 \\ 4 & 6\end{array}\right]+\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$
$=\left[\begin{array}{ll}2-4 & 8-1 \\ 4-3 & 6-2\end{array}\right]$
$=\left[\begin{array}{rr}-2 & 7 \\ 1 & 4\end{array}\right]$
$=\left[\begin{array}{ll}2 & 8 \\ 4 & 6\end{array}\right]+\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$
$=\left[\begin{array}{ll}2-4 & 8-1 \\ 4-3 & 6-2\end{array}\right]$
$=\left[\begin{array}{rr}-2 & 7 \\ 1 & 4\end{array}\right]$
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