Simplify the Matrix

Problem

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

Solution

1. Identify the operation as matrix addition, which requires adding corresponding elements from each matrix.

2. Add the elements in the first row: 8+1 −7+2 2+3 3+4 7+5 −1+6 and 0+7

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

4. Simplify the sums to find the resulting matrix entries.

Final Answer

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

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