Subtract the Matrices

Problem

[[4,−2,3],[−4,4,−6],[−4,1,1]]−[[5,0,0],[0,5,0],[0,0,5]]

Solution

1. Identify the corresponding elements in each matrix that need to be subtracted.

2. Subtract the elements in the first row: 4 - 5,2 - 0,a*n*d - 0$.

3. Subtract the elements in the second row: −4−0 4 - 5,a*n*d6 - 0$.

4. Subtract the elements in the third row: −4−0 1 - 0,a*n*d - 5$.

5. Simplify the results to form the final matrix.

Final Answer

[[4,−2,3],[−4,4,−6],[−4,1,1]]−[[5,0,0],[0,5,0],[0,0,5]]=[[−1,−2,3],[−4,−1,−6],[−4,1,−4]]

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