Simplify the Matrix

Problem

[[5,4],[−3,7]]+[[9,7],[7,9]]−[[6,3],[3,6]]

Solution

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

[[5,4],[−3,7]]+[[9,7],[7,9]]=[[5+9,4+7],[−3+7,7+9]]

[[5+9,4+7],[−3+7,7+9]]=[[14,11],[4,16]]

2. Subtract the third matrix from the resulting sum by subtracting corresponding entries.

[[14,11],[4,16]]−[[6,3],[3,6]]=[[14−6,11−3],[4−3,16−6]]

3. Simplify the arithmetic to find the final matrix entries.

[[14−6,11−3],[4−3,16−6]]=[[8,8],[1,10]]

Final Answer

[[5,4],[−3,7]]+[[9,7],[7,9]]−[[6,3],[3,6]]=[[8,8],[1,10]]

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