# Find values for the variables so that the matrices are equal. begin{bmatrix}x 7 end{bmatrix}=begin{bmatrix} 11 y end{bmatrix}

Find values for the variables so that the matrices are equal.
$\left[\begin{array}{c}x\\ 7\end{array}\right]=\left[\begin{array}{c}11\\ y\end{array}\right]$
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rogreenhoxa8
Step 1
we have to find the value of the variables so that the matrices are equal. $\left[\begin{array}{c}x\\ 7\end{array}\right]=\left[\begin{array}{c}11\\ y\end{array}\right]$
Step 2
as we know that two matrices are equal if the corresponding terms of the matrices are equal.
i.e. $\left[\begin{array}{cc}a& b\\ c& d\end{array}\right]=\left[\begin{array}{cc}x& y\\ z& w\end{array}\right]$

$\left[\begin{array}{c}x\\ 7\end{array}\right]=\left[\begin{array}{c}11\\ y\end{array}\right]$

Step 3
Answer : The values of the variables are as x=11 , y=7.
Jeffrey Jordon