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Problem

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

Solution

1. Add the first two matrices by summing their corresponding entries.

[[−5+(−9),−4+3],[7+1,4+2]]=[[−14,−1],[8,6]]

2. Subtract the third matrix from the result by subtracting its corresponding entries.

[[−14−7,−1−(−2)],[8−(−2),6−8]]

3. Simplify the arithmetic for each entry to find the final matrix.

[[−21,1],[10,−2]]

Final Answer

[[−5,−4],[7,4]]+[[−9,3],[1,2]]−[[7,−2],[−2,8]]=[[−21,1],[10,−2]]

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