Another way to approach the linear combination is to look at it geometrically. This is where the idea of barycentric coordinates can help. A barycentric coordinate system describes the location of a point as the weighted sum of the regular coordinates of the vertices forming a simplex. In other words, it describes a linear combination with respect to a set of points, where in -dimensional space.
Medium difficulty hints, answers for Feb. 26 PipsNumber (10): Everything in this space must add up to 10. The answer is 5-5, placed horizontally; 5-4, placed horizontally.
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