Subtract the Matrices

Problem

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

Solution

1. Multiply the second matrix by the scalar 3 by multiplying every entry inside the matrix by 3

[[3*(3),3*(−1),3*(−1)],[3*(−1/3),3*(2/3),3*(0)]]=[[9,−3,−3],[−1,2,0]]

2. Subtract the resulting matrix from the first matrix by subtracting corresponding entries.

[[2−9,1−(−3),4−(−3)],[1−(−1),2−2,1−0]]

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

[[−7,4,7],[2,0,1]]

Final Answer

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

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