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Let {v1,..., vn} be an orthogonal basis for n and let W span(v1,..., vk). Is it

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

Solution for problem 5.2.26 Chapter 5

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 5.2.26

Let {v1,..., vn} be an orthogonal basis for n and let W span(v1,..., vk). Is it necessarily true that W span(vk+1,..., vn)? Either prove that it is true or find a counterexample.

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Step 1 of 3

7 M** ttl ttl*Jtt *fr#4 (4" fto= 4es Y 9- {Lx)= 4z' Je G. n/ + Cx) Lx"e-* dl - d'(zn"-t) r \X, 'L/t'r K- 7. f (-x= e- 3xt2- .: '.sx+272 A = 2x+3 $= 3i IL j '=Z Bn= {Zo= -sPr, ^"L /r.:t+n

Step 2 of 3

Chapter 5, Problem 5.2.26 is Solved
Step 3 of 3

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

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Let {v1,..., vn} be an orthogonal basis for n and let W span(v1,..., vk). Is it