Compute the following sums:

Question:

Compute the following sums:

(i) $\left[\begin{array}{rr}3 & -2 \\ 1 & 4\end{array}\right]+\left[\begin{array}{rr}-2 & 4 \\ 1 & 3\end{array}\right]$

(ii) $\left[\begin{array}{rrr}2 & 1 & 3 \\ 0 & 3 & 5 \\ -1 & 2 & 5\end{array}\right]+\left[\begin{array}{rrr}1 & -2 & 3 \\ 2 & 6 & 1 \\ 0 & -3 & 1\end{array}\right]$

Solution:

(i) $\left[\begin{array}{cc}3 & -2 \\ 1 & 4\end{array}\right]+\left[\begin{array}{cc}-2 & 4 \\ 1 & 3\end{array}\right] \Rightarrow\left[\begin{array}{cc}3-2 & -2+4 \\ 1+1 & 4+3\end{array}\right] \Rightarrow\left[\begin{array}{ll}1 & 2 \\ 2 & 7\end{array}\right]$

(ii) $\left[\begin{array}{ccc}2 & 1 & 3 \\ 0 & 3 & 5 \\ -1 & 2 & 5\end{array}\right]+\left[\begin{array}{ccc}1 & -2 & 3 \\ 2 & 6 & 1 \\ 0 & -3 & 1\end{array}\right] \Rightarrow\left[\begin{array}{ccc}2+1 & 1-2 & 3+3 \\ 0+2 & 3+6 & 5+1 \\ -1+0 & 2-3 & 5+1\end{array}\right] \Rightarrow\left[\begin{array}{ccc}3 & -1 & 6 \\ 2 & 9 & 6 \\ -1 & -1 & 6\end{array}\right]$

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