Subtract the Matrices 2[[0,2,1],[3,-2,4]]-3[[-3,1,0],[1,7,2]]

Problem

2*[[0,2,1],[3,−2,4]]−3*[[−3,1,0],[1,7,2]]

Solution

1. Distribute the scalar 2 into the first matrix by multiplying every entry by 2

2*[[0,2,1],[3,−2,4]]=[[0,4,2],[6,−4,8]]

2. Distribute the scalar 3 into the second matrix by multiplying every entry by 3

3*[[−3,1,0],[1,7,2]]=[[−9,3,0],[3,21,6]]

3. Subtract the corresponding entries of the two resulting matrices.

[[0−(−9),4−3,2−0],[6−3,−4−21,8−6]]

4. Simplify the arithmetic for each entry to find the final matrix.

[[9,1,2],[3,−25,2]]

Final Answer

2*[[0,2,1],[3,−2,4]]−3*[[−3,1,0],[1,7,2]]=[[9,1,2],[3,−25,2]]

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