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