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Problem

[[−4,8],[4,9],[8,−9]]+[[−9,−6],[−5,9],[3,−6]]

Solution

1. Identify the dimensions of the matrices to ensure they can be added. Both matrices are 3×2 so addition is defined.

2. Add the corresponding elements in the first row.

−4+(−9)=−13

8+(−6)=2

3. Add the corresponding elements in the second row.

4+(−5)=−1

9+9=18

4. Add the corresponding elements in the third row.

8+3=11

−9+(−6)=−15

5. Combine the results into a new 3×2 matrix.

Final Answer

[[−4,8],[4,9],[8,−9]]+[[−9,−6],[−5,9],[3,−6]]=[[−13,2],[−1,18],[11,−15]]

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