Add [[-1,-2],[4,3]]+[[5,-3],[2,-1]]

Problem

[[−1,−2],[4,3]]+[[5,−3],[2,−1]]

Solution

1. Identify the corresponding elements in each matrix that need to be added together.

2. Add the elements in the first row, first column: −1+5=4

3. Add the elements in the first row, second column: −2+(−3)=−5

4. Add the elements in the second row, first column: 4 + 2 = 6$.

5. Add the elements in the second row, second column: 3 + (-1) = 2$.

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

Final Answer

[[−1,−2],[4,3]]+[[5,−3],[2,−1]]=[[4,−5],[6,2]]

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