Subtract the Matrices

Problem

−3*[[5,1],[1,−9],[6,7]]−8*[[−1,−3],[−3,−3],[4,2]]

Solution

1. Distribute the scalar −3 into the first matrix by multiplying every element by −3

−3*[[5,1],[1,−9],[6,7]]=[[−15,−3],[−3,27],[−18,−21]]

2. Distribute the scalar −8 into the second matrix by multiplying every element by −8

−8*[[−1,−3],[−3,−3],[4,2]]=[[8,24],[24,24],[−32,−16]]

3. Add the resulting matrices by summing the corresponding entries from each matrix.

[[−15+8,−3+24],[−3+24,27+24],[−18−32,−21−16]]

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

[[−7,21],[21,51],[−50,−37]]

Final Answer

−3*[[5,1],[1,−9],[6,7]]−8*[[−1,−3],[−3,−3],[4,2]]=[[−7,21],[21,51],[−50,−37]]

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