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Problem

[[−3,9,9],[1,11,3],[−11,−4,−3]]+[[−7,−5,1],[−7,−5,13],[−1,−15,−11]]

Solution

1. Identify the rule for matrix addition, which requires adding corresponding elements from each matrix.

2. Add the elements in the first row:

−3+(−7)=−10

9+(−5)=4

9+1=10

3. Add the elements in the second row:

1+(−7)=−6

11+(−5)=6

3+13=16

4. Add the elements in the third row:

−11+(−1)=−12

−4+(−15)=−19

−3+(−11)=−14

5. Combine these results into a new matrix of the same dimensions.

Final Answer

[[−3,9,9],[1,11,3],[−11,−4,−3]]+[[−7,−5,1],[−7,−5,13],[−1,−15,−11]]=[[−10,4,10],[−6,6,16],[−12,−19,−14]]

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