Simplify the Matrix -8[[9,-6],[-4,0]]

Problem

−8*[[9,−6],[−4,0]]

Solution

1. Identify the operation as scalar multiplication, where the scalar −8 must be multiplied by every individual entry inside the matrix.

2. Multiply the first row entries by the scalar: −8×9=−72 and −8×−6=48

3. Multiply the second row entries by the scalar: −8×−4=32 and −8×0=0

4. Construct the resulting matrix using the calculated values in their respective positions.

Final Answer

−8*[[9,−6],[−4,0]]=[[−72,48],[32,0]]

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