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Problem

[[−2,1],[4,8],[−1,0]]+[[7,−5],[−2,8],[−8,8]]

Solution

1. Identify the corresponding elements in each matrix. Matrix addition is performed by adding elements that occupy the same row and column position.

2. Add the elements in the first row:

−2+7=5

1+(−5)=−4

3. Add the elements in the second row:

4+(−2)=2

8+8=16

4. Add the elements in the third row:

−1+(−8)=−9

0+8=8

5. Combine these results into a new matrix of the same dimensions (3×2.

Final Answer

[[−2,1],[4,8],[−1,0]]+[[7,−5],[−2,8],[−8,8]]=[[5,−4],[2,16],[−9,8]]

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