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Let $A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $\;A+B\qquad$

Note: This is part 1 of a 5 part question, split as 5 separate questions here.

1 Answer

Toolbox:
• The sum $A+B$ of two $m$-by-$n$ matrices $A$ and $B$ is calculated entrywise: $(A + B)_{i,j} = A_{i,j} + B_{i,j}$ 1 ≤ i ≤ m and 1 ≤ j ≤ n.
Given $A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}$ and $B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}$, $A + B = \begin{bmatrix}2+1 & 4+3\\3+(-2) & 2+5\end{bmatrix} = \begin{bmatrix}3 & 7\\1 & 7\end{bmatrix}.$
answered Feb 27, 2013
edited Feb 27, 2013

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