3.) Let V be a finite-dimensional vector space. Suppose T : V → V is a linear transformation. how that T is injective (one-to-one) if and only if T is surjective (o

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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3.) Let V be a finite-dimensional vector space.
Suppose T : V
V is a linear transformation.
Show that T is injective (one-to-one) if and only if T is surjective (onto).
Transcribed Image Text:3.) Let V be a finite-dimensional vector space. Suppose T : V V is a linear transformation. Show that T is injective (one-to-one) if and only if T is surjective (onto).
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