Multiply the Matrices -4[[17,9],[5,-5],[-17,-10]]

Problem

−4*[[17,9],[5,−5],[−17,−10]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the scalar factor −4

2. Distribute the scalar −4 to each element in the first row.

−4⋅17=−68

−4⋅9=−36

3. Distribute the scalar −4 to each element in the second row.

−4⋅5=−20

−4⋅−5=20

4. Distribute the scalar −4 to each element in the third row.

−4⋅−17=68

−4⋅−10=40

5. Assemble the resulting values into a new matrix of the same dimensions (3×2.

Final Answer

−4*[[17,9],[5,−5],[−17,−10]]=[[−68,−36],[−20,20],[68,40]]

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