Add [[-1,8,7],[-3,-7,4]][[-2,-7,-9],[5,3,7]]

Problem

[[−1,8,7],[−3,−7,4]]+[[−2,−7,−9],[5,3,7]]

Solution

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

2. Add the elements in the first row:

−1+(−2)=−3

8+(−7)=1

7+(−9)=−2

3. Add the elements in the second row:

−3+5=2

−7+3=−4

4+7=11

4. Combine the results into a new matrix of the same dimensions.

Final Answer

[[−1,8,7],[−3,−7,4]]+[[−2,−7,−9],[5,3,7]]=[[−3,1,−2],[2,−4,11]]

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