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Suppose T 2 L.V / has a diagonal matrix A with respect to some basisof V and that 2 F

Linear Algebra Done Right (Undergraduate Texts in Mathematics) | 3rd Edition | ISBN: 9783319110790 | Authors: Sheldon Axler ISBN: 9783319110790 432

Solution for problem 7 Chapter 5.C

Linear Algebra Done Right (Undergraduate Texts in Mathematics) | 3rd Edition

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Linear Algebra Done Right (Undergraduate Texts in Mathematics) | 3rd Edition | ISBN: 9783319110790 | Authors: Sheldon Axler

Linear Algebra Done Right (Undergraduate Texts in Mathematics) | 3rd Edition

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Problem 7

Suppose T 2 L.V / has a diagonal matrix A with respect to some basisof V and that 2 F. Prove that appears on the diagonal of A preciselydim E.; T / times.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 5.C, Problem 7 is Solved
Step 3 of 3

Textbook: Linear Algebra Done Right (Undergraduate Texts in Mathematics)
Edition: 3
Author: Sheldon Axler
ISBN: 9783319110790

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Suppose T 2 L.V / has a diagonal matrix A with respect to some basisof V and that 2 F