Multiply the Matrices (3/2)[[-5],[1]]

Problem

3/2*[[−5],[1]]

Solution

1. Identify the operation as scalar multiplication, where each entry inside the matrix is multiplied by the constant factor 3/2

2. Multiply the first entry of the column matrix by the scalar: 3/2⋅(−5)=−15/2

3. Multiply the second entry of the column matrix by the scalar: 3/2⋅1=3/2

4. Write the resulting values into a new column matrix of the same dimensions.

Final Answer

3/2*[[−5],[1]]=[[−15/2],[3/2]]

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