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Multiply the Matrices 3B[[6,9,0,1],[8,2,9,0],[7,8,3,5]]

Problem

3⋅[[6,9,0,1],[8,2,9,0],[7,8,3,5]]

Solution

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

  2. Multiply the elements of the first row by 3

3⋅6=18

3⋅9=27

3⋅0=0

3⋅1=3

  1. Multiply the elements of the second row by 3

3⋅8=24

3⋅2=6

3⋅9=27

3⋅0=0

  1. Multiply the elements of the third row by 3

3⋅7=21

3⋅8=24

3⋅3=9

3⋅5=15

  1. Assemble the results into the final matrix structure.

Final Answer

3⋅[[6,9,0,1],[8,2,9,0],[7,8,3,5]]=[[18,27,0,3],[24,6,27,0],[21,24,9,15]]


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