Question
$\begin{aligned}& A=\left[\begin{array}{ccc}1 & 2 & -1 \\0 & 1 & 3\end{array}\right], 2 C_2 \\& B=\left[\begin{array}{lll}1 & 0 & 2 \\2 & 4 & 5\end{array}\right],-3 R_1\end{aligned}$
Find the addition of the two new matrices.
Find the addition of the two new matrices.
By $2 C _2$, we get
$\begin{aligned}& A \sim\left[\begin{array}{rrr}1 & 4 & -1 \\0 & 2 & 3\end{array}\right] \\& B=\left[\begin{array}{lll}1 & 0 & 2 \\2 & 4 & 5\end{array}\right]\end{aligned}$
By $-3 R_1$, we get,
$B \sim\left[\begin{array}{rrr}-3 & 0 & -6 \\2 & 4 & 5\end{array}\right]$
Now, addition of the two new matrices
$\begin{aligned}& =\left[\begin{array}{rrr}1 & 4 & -1 \\0 & 2 & 3\end{array}\right]+\left[\begin{array}{rrr}-3 & 0 & -6 \\2 & 4 & 5\end{array}\right] \\&=\left(\begin{array}{rrr}-2 & 4 & -7 \\2 & 6 & 8\end{array}\right]\end{aligned}$
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