Multiply the Matrices -3[[6],[2],[9]]

Problem

−3*[[6],[2],[9]]

Solution

1. Identify the operation as scalar multiplication, where each element of the column matrix is multiplied by the scalar −3

2. Distribute the scalar −3 to each entry inside the matrix.

3. Calculate the product for the first row: −3×6=−18

4. Calculate the product for the second row: −3×2=−6

5. Calculate the product for the third row: −3×9=−27

Final Answer

−3*[[6],[2],[9]]=[[−18],[−6],[−27]]

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