# A=begin{bmatrix}1 & 0&1 0 & 2&0end{bmatrix} , B=begin{bmatrix}1 & 4&1 0 & 2&1 end{bmatrix} Find C_{21} text{ and } C_{13} , where C=2A-3B

$A=\left[\begin{array}{ccc}1& 0& 1\\ 0& 2& 0\end{array}\right],B=\left[\begin{array}{ccc}1& 4& 1\\ 0& 2& 1\end{array}\right]$
Find , where C=2A-3B
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Step 1
Given matrices
$A=\left[\begin{array}{ccc}1& 0& 1\\ 0& 2& 0\end{array}\right]$
$B=\left[\begin{array}{ccc}1& 4& 1\\ 0& 2& 1\end{array}\right]$
Step 2
Now to find
C =2A-3B
$C=2\left[\begin{array}{ccc}1& 0& 1\\ 0& 2& 0\end{array}\right]-3\left[\begin{array}{ccc}1& 4& 1\\ 0& 2& 1\end{array}\right]$
$=\left[\begin{array}{ccc}2& 0& 2\\ 0& 4& 0\end{array}\right]-\left[\begin{array}{ccc}3& 12& 3\\ 0& 6& 3\end{array}\right]$
$=\left[\begin{array}{ccc}-1& -12& -1\\ 0& -2& -3\end{array}\right]$
${C}_{21}$= second row first element = 0
${C}_{13}$= first row third element = -1