Multiply the Matrices -8[[9,-6],[-4,0]]

Problem

−8*[[9,−6],[−4,0]]

Solution

1. Identify the operation as scalar multiplication, where each entry inside the matrix is multiplied by the constant factor −8

2. Distribute the scalar −8 to every element in the first row of the matrix.

−8⋅9=−72

−8⋅−6=48

3. Distribute the scalar −8 to every element in the second row of the matrix.

−8⋅−4=32

−8⋅0=0

4. Construct the resulting matrix using the calculated values.

Final Answer

−8*[[9,−6],[−4,0]]=[[−72,48],[32,0]]

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