Simplify the Matrix -3[[5,-2,9],[13,9,9],[10,12,12]]

Problem

−3*[[5,−2,9],[13,9,9],[10,12,12]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the scalar value −3

2. Multiply each element in the first row by −3

−3⋅5=−15

−3⋅−2=6

−3⋅9=−27

3. Multiply each element in the second row by −3

−3⋅13=−39

−3⋅9=−27

−3⋅9=−27

4. Multiply each element in the third row by −3

−3⋅10=−30

−3⋅12=−36

−3⋅12=−36

5. Construct the resulting matrix using the calculated values.

Final Answer

−3*[[5,−2,9],[13,9,9],[10,12,12]]=[[−15,6,−27],[−39,−27,−27],[−30,−36,−36]]

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