Let T: R n R n be a linear transformation. a. What is the dimension of
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Let T: Rn → 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 Rm? Explain.
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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
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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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