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Problem

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

Solution

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

2. Add the elements in the first row, first column: −1/4+(−3/4)=−4/4=−1

3. Add the elements in the first row, second column: −2+4=2

4. Add the elements in the second row, first column: −5+6=1

5. Add the elements in the second row, second column: −4/3+(−2/3)=−6/3=−2

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

Final Answer

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

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