Subtract the Matrices

Problem

[[−1],[4],[5]]−[[55/42],[395/84],[167/84]]

Solution

1. Identify the corresponding elements of the matrices to perform element-wise subtraction.

2. Subtract the first row elements by finding a common denominator of 42

−1−55/42=−42/42−55/42=−97/42

3. Subtract the second row elements by finding a common denominator of 84

4−395/84=336/84−395/84=−59/84

4. Subtract the third row elements by finding a common denominator of 84

5−167/84=420/84−167/84=253/84

5. Combine the results into a single matrix.

Final Answer

[[−1],[4],[5]]−[[55/42],[395/84],[167/84]]=[[−97/42],[−59/84],[253/84]]

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