Suppose a linear transformation T: R n R n has the prop- erty that T(u) =

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Suppose a linear transformation T: Rⁿ → Rⁿ has the prop- erty that T(u) = T(v) for some pair of distinct vectors u and v in Rⁿ. Can T map Rⁿ onto Rⁿ? Why or why not?

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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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Question Posted: Apr 20, 2023 12:03 AM

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o1s= secom o1s= secom

Suppose a linear transformation T: R n R n has the prop- erty that T(u) =

Question:

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Let A be the standard matrix of T By hypothesis T is not a onetoone mapping So by Theorem ...View the full answer

Linear Algebra And Its Applications

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