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# Compute the following $(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}+\begin{bmatrix}a & b\\b & a\end{bmatrix}$

Note: This is the 1st part of a 4 part question, which is split as 4 separate questions here

Toolbox:
• The sum $A+B$ of two $m$-by-$n$ matrices $A$ and $B$ is calculated entrywise: $(A + B)_{i,j} = A_{i,j} + B_{i,j}$ where 1 ≤ i ≤ m and 1 ≤ j ≤ n.

$\begin{bmatrix}a & b\\-b & a\end{bmatrix}+\begin{bmatrix}a & b\\b & a\end{bmatrix} = \begin{bmatrix}a+a & b+b\\-b+b & a+a\end{bmatrix} = \begin{bmatrix}2a & 2b\\0 & 2a\end{bmatrix}$

edited Feb 27, 2013