Multiply the Matrices 2[[3,-1],[-4,7]]

Problem

2*[[3,−1],[−4,7]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the constant 2

2. Distribute the scalar 2 to each individual element of the matrix.

[[2⋅3,2⋅(−1)],[2⋅(−4),2⋅7]]

3. Simplify the products within each position of the matrix to find the final values.

2⋅3=6

2⋅(−1)=−2

2⋅(−4)=−8

2⋅7=14

Final Answer

2*[[3,−1],[−4,7]]=[[6,−2],[−8,14]]

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