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(a) Find the coordinate vectors and of x with respect to the bases B and C

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole ISBN: 9780538735452 298

Solution for problem 6.3.3 Chapter 6

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Problem 6.3.3

(a) Find the coordinate vectors and of x with respect to the bases B and C, respectively. (b) Find the change-of-basis matrix from B to C. (c) Use your answer to part (b) to compute and compare your answer with the one found in part (a). (d) Find the change-of-basis matrix from C to B. (e) Use your answers to parts (c) and (d) to compute and compare your answer with the one found in part (a).

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L27 - 2 We introduce a new method that applies to many limits of this form: L’Hˆ opital’s Rule ▯ Suppose that f and g are differentiable and g (x) ▯=0er a (except possibly at a). Suppose that lim f(x)=0a ndl g(x)=0 x→a x→a or x→a f(x)= ±∞ and lim x→a)= ±∞. Then if it exists or is ±∞ . Note the following: 1. L’Hˆpital’s rule applies to one-sided limits and limits at infinity. 2. L’Hoˆpital’s rule is the limit of quotient of derivatives, not the limit of derivative of the quotient.

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Chapter 6, Problem 6.3.3 is Solved
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Textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign)
Edition: 3
Author: David Poole
ISBN: 9780538735452

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(a) Find the coordinate vectors and of x with respect to the bases B and C