Subtract the Matrices

Problem

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

Solution

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

2. Subtract the elements in the first row: 1 - (-1)a*n*d - 3$.

3. Subtract the elements in the second row: 3 - 2a*n*d - 6$.

4. Subtract the elements in the third row: −1−0 and 0 - 4$.

5. Simplify the results of each subtraction to form the new matrix.

1−(−1)=2

2−3=−1

3−2=1

4−6=−2

−1−0=−1

0−4=−4

Final Answer

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

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