(a) Suppose dim V = 5 and S, TEL(V) are such that ST = 0. Prove that dim range TS 2. (b) Give an example of S, TE (F5) with ST = 0 and dim range TS = 2.
(a) Suppose dim V = 5 and S, TEL(V) are such that ST = 0. Prove that dim range TS 2. (b) Give an example of S, TE (F5) with ST = 0 and dim range TS = 2.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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![24 (a) Suppose dim V = 5 and S, TEL(V) are such that ST = 0. Prove that
E
dim range TS 2.
(b)
Give an example of S, TE (F5) with ST = 0 and dim range TS = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe46c8801-9ce5-4a4f-94f4-b0c48de0b30c%2F7c7d9f43-a67b-4fc6-bcf7-c43e6294e794%2Fz2hibn.jpeg&w=3840&q=75)
Transcribed Image Text:24 (a) Suppose dim V = 5 and S, TEL(V) are such that ST = 0. Prove that
E
dim range TS 2.
(b)
Give an example of S, TE (F5) with ST = 0 and dim range TS = 2.
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