Subtract the Matrices [[-3],[-3]]-2[[6],[1]]

Problem

[[−3],[−3]]−2*[[6],[1]]

Solution

1. Distribute the scalar 2 into the second matrix by multiplying each element by 2

2*[[6],[1]]=[[2⋅6],[2⋅1]]

2*[[6],[1]]=[[12],[2]]

2. Rewrite the expression with the new matrix.

[[−3],[−3]]−[[12],[2]]

3. Subtract the corresponding elements of the two matrices.

[[−3−12],[−3−2]]

4. Simplify the arithmetic to find the final values.

−3−12=−15

−3−2=−5

Final Answer

[[−3],[−3]]−2*[[6],[1]]=[[−15],[−5]]

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