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Problem

[[4,−3,0,8,7,5],[0,1,0,2,−4,−6]]+[[4,−1,7,5,4,−3],[−12,−2,−6,−5,9,2]]

Solution

1. Identify the dimensions of the matrices to ensure they can be added. Both matrices are 2×6 so addition is defined.

2. Add the corresponding elements in the first row: 4+4 −3+(−1) 0+7 8+5 7+4 and 5+(−3)

3. Add the corresponding elements in the second row: 0+(−12) 1+(−2) 0+(−6) 2+(−5) −4+9 and −6+2

4. Simplify each sum to determine the final entries of the resulting matrix.

Final Answer

[[4,−3,0,8,7,5],[0,1,0,2,−4,−6]]+[[4,−1,7,5,4,−3],[−12,−2,−6,−5,9,2]]=[[8,−4,7,13,11,2],[−12,−1,−6,−3,5,−4]]

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