Simplify the Matrix [[2,1],[1,-1]]+[[6,-4],[6,4]]

Problem

[[2,1],[1,−1]]+[[6,−4],[6,4]]

Solution

1. Identify the rule for matrix addition, which requires adding the corresponding elements from each matrix.

2. Add the elements in the first row, first column: 2 + 6$.

3. Add the elements in the first row, second column: 1 + (-4)$.

4. Add the elements in the second row, first column: 1 + 6$.

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

6. Simplify each sum to find the resulting matrix.

Final Answer

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

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