Multiply the Matrices 5[[-7,3,0,9],[4,-5,6,2]]

Problem

5*[[−7,3,0,9],[4,−5,6,2]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the constant 5

2. Multiply each element in the first row by 5

5⋅(−7)=−35

5⋅3=15

5⋅0=0

5⋅9=45

3. Multiply each element in the second row by 5

5⋅4=20

5⋅(−5)=−25

5⋅6=30

5⋅2=10

4. Construct the resulting matrix using the calculated values.

Final Answer

5*[[−7,3,0,9],[4,−5,6,2]]=[[−35,15,0,45],[20,−25,30,10]]

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