Multiply the Matrices (-2)[[6],[0],[-2]]

Problem

−2*[[6],[0],[−2]]

Solution

1. Identify the operation as scalar multiplication, where the scalar −2 must be multiplied by every entry inside the column matrix.

2. Distribute the scalar −2 to the first entry: −2⋅6=−12

3. Distribute the scalar −2 to the second entry: −2⋅0=0

4. Distribute the scalar −2 to the third entry: −2⋅−2=4

5. Assemble the resulting values into a new column matrix of the same dimensions.

Final Answer

−2*[[6],[0],[−2]]=[[−12],[0],[4]]

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