Subtract the Matrices

Problem

[[−1,7/3,−2],[0,2/3,1],[1/2,−1,1]]−[[1,−10,2],[−9,−2,−4],[5,4,4]]

Solution

1. Identify the rule for matrix subtraction, which requires subtracting corresponding elements from each other.

2. Subtract the elements in the first row:

−1−1=−2

7/3−(−10)=7/3+30/3=37/3

−2−2=−4

3. Subtract the elements in the second row:

0−(−9)=9

2/3−(−2)=2/3+6/3=8/3

1−(−4)=5

4. Subtract the elements in the third row:

1/2−5=1/2−10/2=−9/2

−1−4=−5

1−4=−3

5. Combine the results into a single matrix.

Final Answer

[[−1,7/3,−2],[0,2/3,1],[1/2,−1,1]]−[[1,−10,2],[−9,−2,−4],[5,4,4]]=[[−2,37/3,−4],[9,8/3,5],[−9/2,−5,−3]]

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