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QUESTION IMAGE

4 1 5 -2 + 7 -5 3 4 = m3 -4 2 3 2 -6 -6 -3 2 -4 -6 m3 6 -4 2

Question

4 1
5 -2
+
7 -5
3 4
=

m3 -4 2

3 2 -6 -6

-3 2 -4 -6

m3 6 -4 2

Explanation:

Step1: Calculate matrix addition

$$\begin{pmatrix} 4 & 1 \\ 5 & -2 \end{pmatrix} + \begin{pmatrix} 7 & -5 \\ 3 & 4 \end{pmatrix} = \begin{pmatrix} 4+7 & 1+(-5) \\ 5+3 & -2+4 \end{pmatrix}$$

Step2: Compute each element

$$\begin{pmatrix} 11 & -4 \\ 8 & 2 \end{pmatrix}$$

Answer:

11 8
-4 2