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Problem

−1*[[−2,5,6],[−4,7,−1],[3,−4,2]]+[[−5,−2,7],[−3,4,−8],[−2,−9,−7]]

Solution

1. Perform scalar multiplication by multiplying every element in the first matrix by −1

[[2,−5,−6],[4,−7,1],[−3,4,−2]]+[[−5,−2,7],[−3,4,−8],[−2,−9,−7]]

2. Add corresponding elements from the two matrices to find the sum.

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

3. Simplify the arithmetic for each entry in the resulting matrix.

[[−3,−7,1],[1,−3,−7],[−5,−5,−9]]

Final Answer

−1*[[−2,5,6],[−4,7,−1],[3,−4,2]]+[[−5,−2,7],[−3,4,−8],[−2,−9,−7]]=[[−3,−7,1],[1,−3,−7],[−5,−5,−9]]

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