# Find the product of the following matrices , if possible begin{bmatrix}6 & -9 -5 & 5 end{bmatrix}begin{bmatrix}-1 6 end{bmatrix} Select the correct ch

Find the product of the following matrices , if possible
$\left[\begin{array}{cc}6& -9\\ -5& 5\end{array}\right]\left[\begin{array}{c}-1\\ 6\end{array}\right]$
Select the correct choise below and , if necessary , fill in the answer box to complete your choise.
A)$\left[\begin{array}{cc}6& -9\\ -5& 5\end{array}\right]\left[\begin{array}{c}-1\\ 6\end{array}\right]$
B)The product is not defined
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Step 1
First matrix is $2×2$ and second matrix is $2×1$
So multiplication is possible.
$\left[\begin{array}{cc}6& -9\\ -5& 5\end{array}\right]\left[\begin{array}{c}-1\\ 6\end{array}\right]$
Step 2
Then we multiply the matrices using matrix multiplication.
$\left[\begin{array}{cc}6& -9\\ -5& 5\end{array}\right]\left[\begin{array}{c}-1\\ 6\end{array}\right]$
$\left[\begin{array}{c}6\left(-1\right)+\left(-9\right)\left(6\right)\\ \left(-5\right)\left(-1\right)+5\left(6\right)\end{array}\right]$
$\left[\begin{array}{c}-6-54\\ 5+30\end{array}\right]=\left[\begin{array}{c}-60\\ 35\end{array}\right]$
Jeffrey Jordon