Concern a vector space V, a basis B = {b 1 ,...,b n ), and the coordinate
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Concern a vector space V, a basis B = {b1,...,bn), and the coordinate mapping x ↦ [x] B.
Show that the coordinate mapping is onto Rn. That is, given any y in Rn, with entries y1,...,yn, produce u in V such that [u]B = y.
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Given y y 1 y n in R n let ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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