Exam-style question
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Which expression is a convex combination of vectors u and v?.
- A.0.25u + 0.75v
- B.2u - v
- C.0.25u + 0.25v
- D.-0.25u + 1.25v
Model answer
What a good answer should say
- 0.25u + 0.75v
Explanation
Why this works
For a convex combination, both coefficients must be non-negative and their sum must be 1. In the first option, 0.25 and 0.75 are non-negative and add to 1.
Common mistake
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