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,...,b_n), and the coordinate mapping x ↦ [x] _B.

Show that the coordinate mapping is one-to-one. Suppose [u]_B = [w]_B for some u and w in V, and show that u = w.]

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Linear Algebra And Its Applications

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Authors: David Lay, Steven Lay, Judi McDonald

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Concern a vector space V, a basis B = {b 1 ,...,b n ), and the coordinate

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Linear Algebra And Its Applications

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