# Find the product AB of the two matrices listed below: A=begin{pmatrix}2 & 1&3 -2 & 2&4-1&-3&-4 end{pmatrix} B=begin{pmatrix}-1 & -21 & 23&4 end{pmatrix}

Find the product AB of the two matrices listed below:
$A=\left(\begin{array}{ccc}2& 1& 3\\ -2& 2& 4\\ -1& -3& -4\end{array}\right)$
$B=\left(\begin{array}{cc}-1& -2\\ 1& 2\\ 3& 4\end{array}\right)$
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grbavit
Step 1
Find the product AB of the two matrices.
Step 2
$AB=\left[\begin{array}{ccc}2& 1& 3\\ -2& 2& 4\\ -1& -3& -4\end{array}\right]\left[\begin{array}{cc}-1& -2\\ 1& 2\\ 3& 4\end{array}\right]$
$=\left[\begin{array}{cc}-2+1+9& -4+2+12\\ 2+2+12& 4+4+16\\ 1-3-12& 2-6-16\end{array}\right]$
$=\left[\begin{array}{cc}8& 10\\ 16& 24\\ -14& -20\end{array}\right]$
Jeffrey Jordon