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Problem

[[−4,3,−6],[0,2,7],[10,15,−3]]−2*[[−1,2,4],[−2,0,3],[5,−6,1]]

Solution

1. Perform scalar multiplication by multiplying every element in the second matrix by the scalar 2

[[−4,3,−6],[0,2,7],[10,15,−3]]−[[−2,4,8],[−4,0,6],[10,−12,2]]

2. Subtract the matrices by subtracting the corresponding elements of the second matrix from the first matrix.

[[−4−(−2),3−4,−6−8],[0−(−4),2−0,7−6],[10−10,15−(−12),−3−2]]

3. Simplify the arithmetic for each individual entry to find the resulting matrix.

[[−2,−1,−14],[4,2,1],[0,27,−5]]

Final Answer

[[−4,3,−6],[0,2,7],[10,15,−3]]−2*[[−1,2,4],[−2,0,3],[5,−6,1]]=[[−2,−1,−14],[4,2,1],[0,27,−5]]

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