Subtract the Matrices

Problem

[[2.63,4.42,6.38,9.18],[1.71,2.75,4.68,6.94],[0.95,0.76,0.65,0.56]]−[[1.48,1.71,1.81,3.28],[1.15,1.46,2.76,2.37],[0.41,0.35,0.28,0.49]]

Solution

1. Identify the corresponding elements in each matrix. Matrix subtraction is performed by subtracting each element in the second matrix from the element in the same position in the first matrix.

2. Subtract the elements in the first row:

2.63−1.48=1.15

4.42−1.71=2.71

6.38−1.81=4.57

9.18−3.28=5.90

3. Subtract the elements in the second row:

1.71−1.15=0.56

2.75−1.46=1.29

4.68−2.76=1.92

6.94−2.37=4.57

4. Subtract the elements in the third row:

0.95−0.41=0.54

0.76−0.35=0.41

0.65−0.28=0.37

0.56−0.49=0.07

5. Assemble the results into a new matrix of the same dimensions (3×4.

Final Answer

[[2.63,4.42,6.38,9.18],[1.71,2.75,4.68,6.94],[0.95,0.76,0.65,0.56]]−[[1.48,1.71,1.81,3.28],[1.15,1.46,2.76,2.37],[0.41,0.35,0.28,0.49]]=[[1.15,2.71,4.57,5.90],[0.56,1.29,1.92,4.57],[0.54,0.41,0.37,0.07]]

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