Simplify the Matrix

Problem

[[0,−2],[2,1],[−2,6],[6,0]]−[[1,−1],[1,1],[1,1],[1,1]]

Solution

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

2. Subtract the elements in the first row: 0 - 1 = -1a*n*d2 - (-1) = -1$.

3. Subtract the elements in the second row: 2 - 1 = 1a*n*d - 1 = 0$.

4. Subtract the elements in the third row: −2−1=−3 and 6 - 1 = 5$.

5. Subtract the elements in the fourth row: 6 - 1 = 5a*n*d - 1 = -1$.

6. Combine these results into a new matrix of the same dimensions (4×2.

Final Answer

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

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