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Prove the Cayley-Hamilton theorem, /aM ) = 0, for diagonalizable matrices A. See

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 73 Chapter 7.4

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 73

Prove the Cayley-Hamilton theorem, /aM ) = 0, for diagonalizable matrices A. See Exercise 7.3.54.

Step-by-Step Solution:
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MATH 1220 Notes for Week #11 28 May 2016 Final day of Spring Break 29 May 2016 Group work in discussion sections 30 May 2016 ∞ (−1) xn+1 Consider ∑ . n=0 (2n+1)! a) What are the first five nonzero terms of this f0= x x3 f1=− 3! 5 f2= x 5! x7 f3=− 7! f = x9 4 9! b) What are the first five partial sums of this S = x 0 x3 S1= x − 3! S = x − x3+ x5 2 3! 5! x3 x5 x7 S3= x − 3!+ 5!− 7! S = x − x3+ x5− x7 + x9 4 3! 5!

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Chapter 7.4, Problem 73 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Prove the Cayley-Hamilton theorem, /aM ) = 0, for diagonalizable matrices A. See