Let T: R n R n be a linear transformation. a. What is the dimension of

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Let T: R^{n →}Rⁿ be a linear transformation.

a. What is the dimension of the range of T if T is a one-to- one mapping? Explain.

b. What is the dimension of the kernel of T if T maps Rⁿ onto R^m? Explain.

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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: May 06, 2023 06:11 AM

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Let T: R n R n be a linear transformation. a. What is the dimension of

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ANSWER a If T is a onetoone mapping then every vector in the domain of T maps to a unique vector in the range of T In other words if Tx Ty then x y fo...View the full answer

Linear Algebra And Its Applications

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