Multiply the Matrices -5*[[-1],[1],[1],[1]]

Problem

−5⋅[[−1],[1],[1],[1]]

Solution

1. Identify the operation as scalar multiplication, where each entry of the column vector is multiplied by the scalar −5

2. Distribute the scalar −5 to each element inside the matrix.

3. Calculate the product for the first row: −5⋅(−1)=5

4. Calculate the product for the remaining rows: −5⋅1=−5

Final Answer

−5⋅[[−1],[1],[1],[1]]=[[5],[−5],[−5],[−5]]

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