Suppose vectors V,..., V p span R n , and let T: R n R n

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Suppose vectors V₁,..., Vp span Rn, and let T: Rn → Rn be a linear transformation. Suppose T(vi) = 0 for i = 1, ..., p.
Show that I is the zero transformation. That is, show that if
x is any vector in Rn, then 7(x) = 0.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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