Let T : Rn ! Rm be a linear transformation, with A its standard matrix. Complete the

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Let T : Rn ! Rm be a linear transformation, with A its standard matrix. Complete the following statement to make it true: "T maps Rn onto Rm if and only if A has pivot columns." Find some theorems that explain why the statement is true.

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 11:58 AM

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Let T : Rn ! Rm be a linear transformation, with A its standard matrix. Complete the

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The transformation T maps R n onto R m if and only if the colu...View the full answer

Linear Algebra and Its Applications

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