Let T: R n R n be an invertible linear transformation. Explain why I is both
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Let T: Rn → Rn be an invertible linear transformation. Explain why I is both one-to-one and onto R". Use equations (1) and (2). Then give a second explanation using one or more theorems.
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Equation 1 Tx Ty implies x y onetoone Equation 2 For every y in Rn there exists an x in Rn such that ...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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