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Linear Algebra : Change of Coordinates

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If you let B = {v1, v2, ..., vk} be a basis of a subspace V of ; and you let Q = (qij) be an n x n matrix such that C = {Q(v1), Q(v2,)...,Q(vk)} is a basis of V. If , what are the coordinates of v with respect to B?

Also, if what are the coordinates of Q(v) with respect to C?

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Change of coordinates is investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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