Subtract the Matrices

Problem

[[36,−36],[8,16],[12,24]]−[[9,−5],[9,8],[1,−8]]

Solution

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

2. Subtract the elements in the first row: 36 - 9a*n*d36 - (-5)$.

36−9=27

−36+5=−31

3. Subtract the elements in the second row: 8 - 9a*n*d6 - 8$.

8−9=−1

16−8=8

4. Subtract the elements in the third row: 12 - 1a*n*d4 - (-8)$.

12−1=11

24+8=32

5. Organize the results into a new matrix of the same dimensions.

Final Answer

[[36,−36],[8,16],[12,24]]−[[9,−5],[9,8],[1,−8]]=[[27,−31],[−1,8],[11,32]]

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