Add 7[[-3],[3],[-6],[8]]+6[[2],[2],[2],[3]]

Problem

7*[[−3],[3],[−6],[8]]+6*[[2],[2],[2],[3]]

Solution

1. Distribute the scalar 7 into the first vector by multiplying it with each component.

7*[[−3],[3],[−6],[8]]=[[−21],[21],[−42],[56]]

2. Distribute the scalar 6 into the second vector by multiplying it with each component.

6*[[2],[2],[2],[3]]=[[12],[12],[12],[18]]

3. Add the two resulting vectors by summing their corresponding components.

[[−21+12],[21+12],[−42+12],[56+18]]=[[−9],[33],[−30],[74]]

Final Answer

7*[[−3],[3],[−6],[8]]+6*[[2],[2],[2],[3]]=[[−9],[33],[−30],[74]]

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