Subtract the Matrices [[1,1,-1,-5],[3,-1,1,5],[-1,4,-3,1]]

Problem

[[1,1,−1,−5],[3,−1,1,5],[−1,4,−3,1]]−[[1,1,−1,−5],[3,−1,1,5],[−1,4,−3,1]]

Solution

1. Identify the operation as matrix subtraction, which requires subtracting corresponding elements from each matrix.

2. Subtract the elements in the first row: 1−1=0 1−1=0 −1−(−1)=0 and −5−(−5)=0

3. Subtract the elements in the second row: 3−3=0 −1−(−1)=0 1−1=0 and 5−5=0

4. Subtract the elements in the third row: −1−(−1)=0 4−4=0 −3−(−3)=0 and 1−1=0

5. Construct the resulting matrix, which is a zero matrix of the same dimensions.

Final Answer

[[1,1,−1,−5],[3,−1,1,5],[−1,4,−3,1]]−[[1,1,−1,−5],[3,−1,1,5],[−1,4,−3,1]]=[[0,0,0,0],[0,0,0,0],[0,0,0,0]]

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