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Linear Algebra : Change of Coordinates

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?


Solution Summary

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.