Multiply the Matrices (3)[[4,5,6,7],[1,2,4,4],[5,6,7,7]]

Problem

3*[[4,5,6,7],[1,2,4,4],[5,6,7,7]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the scalar value 3

2. Multiply each element in the first row by 3

3⋅4=12

3⋅5=15

3⋅6=18

3⋅7=21

3. Multiply each element in the second row by 3

3⋅1=3

3⋅2=6

3⋅4=12

3⋅4=12

4. Multiply each element in the third row by 3

3⋅5=15

3⋅6=18

3⋅7=21

3⋅7=21

5. Construct the resulting matrix using the calculated values.

Final Answer

3*[[4,5,6,7],[1,2,4,4],[5,6,7,7]]=[[12,15,18,21],[3,6,12,12],[15,18,21,21]]

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