Subtract the Matrices

Problem

[[1,4,7],[5,9,−9],[0,7,9]]−[[46/5,−12/5,3/5],[12/5,−3/5,1/5],[−3/5,1/5,0]]

Solution

1. Identify the corresponding elements in each matrix to perform entry-wise subtraction.

2. Subtract the elements in the first row:

1−46/5=5/5−46/5=−41/5

4−(−12/5)=20/5+12/5=32/5

7−3/5=35/5−3/5=32/5

3. Subtract the elements in the second row:

5−12/5=25/5−12/5=13/5

9−(−3/5)=45/5+3/5=48/5

−9−1/5=−45/5−1/5=−46/5

4. Subtract the elements in the third row:

0−(−3/5)=3/5

7−1/5=35/5−1/5=34/5

9−0=9

Final Answer

[[1,4,7],[5,9,−9],[0,7,9]]−[[46/5,−12/5,3/5],[12/5,−3/5,1/5],[−3/5,1/5,0]]=[[−41/5,32/5,32/5],[13/5,48/5,−46/5],[3/5,34/5,9]]

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