Simplify the Matrix 5*[[1,-1],[0,3]]

Problem

5*[[1,−1],[0,3]]

Solution

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

2. Distribute the scalar 5 to each element of the 2×2 matrix.

[[5⋅1,5⋅(−1)],[5⋅0,5⋅3]]

3. Calculate the resulting values for each position in the matrix.

5⋅1=5

5⋅(−1)=−5

5⋅0=0

5⋅3=15

Final Answer

5*[[1,−1],[0,3]]=[[5,−5],[0,15]]

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