Let V = R¹ and W = = P3 and let TV → W be a linear transformation. Which one of the following statements is correct? a. I cannot be an isomorphism. b. If T is injective then it must be an isomorphism. c. T must be an isomorphism. d. If T is surjective then it cannot be an isomorphism.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Let V = R¹ and W =
Which one of the following statements is correct?
a. I cannot be an isomorphism.
b.
If T is injective then it must be an isomorphism.
c. I must be an isomorphism.
d. If T is surjective then it cannot be an isomorphism.
P3 and let TV → W be a linear transformation.
Transcribed Image Text:Let V = R¹ and W = Which one of the following statements is correct? a. I cannot be an isomorphism. b. If T is injective then it must be an isomorphism. c. I must be an isomorphism. d. If T is surjective then it cannot be an isomorphism. P3 and let TV → W be a linear transformation.
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