Simplify the Matrix

Problem

−9*[[−20,−15,4,−1],[1,14,13,9],[20,5,6,−11],[8,−2,−7,10]]

Solution

1. Identify the operation as scalar multiplication, where every element inside the matrix must be multiplied by the scalar −9

2. Multiply the elements of the first row: −9×−20=180 −9×−15=135 −9×4=−36 and −9×−1=9

3. Multiply the elements of the second row: −9×1=−9 −9×14=−126 −9×13=−117 and −9×9=−81

4. Multiply the elements of the third row: −9×20=−180 −9×5=−45 −9×6=−54 and −9×−11=99

5. Multiply the elements of the fourth row: −9×8=−72 −9×−2=18 −9×−7=63 and −9×10=−90

Final Answer

−9*[[−20,−15,4,−1],[1,14,13,9],[20,5,6,−11],[8,−2,−7,10]]=[[180,135,−36,9],[−9,−126,−117,−81],[−180,−45,−54,99],[−72,18,63,−90]]

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