Simplify the Matrix 5[[-3,9,9],[1,11,3],[-11,-4,-3]]

Problem

5*[[−3,9,9],[1,11,3],[−11,−4,−3]]

Solution

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

2. Multiply the elements of the first row by 5

5⋅(−3)=−15

5⋅9=45

5⋅9=45

3. Multiply the elements of the second row by 5

5⋅1=5

5⋅11=55

5⋅3=15

4. Multiply the elements of the third row by 5

5⋅(−11)=−55

5⋅(−4)=−20

5⋅(−3)=−15

5. Construct the resulting matrix using the calculated values.

Final Answer

5*[[−3,9,9],[1,11,3],[−11,−4,−3]]=[[−15,45,45],[5,55,15],[−55,−20,−15]]

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