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find the orthogonal projection of v onto the subspace W spanned by the vectors ui . (You

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

Solution for problem 5.2.15 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 5.2.15

find the orthogonal projection of v onto the subspace W spanned by the vectors ui . (You may assume that the vectors ui are orthogonal.)

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Step 1 of 3

Finite Math 1­17­18 Lecture  A set is a well­definted collection of objects  Example: {New England states} = {MA, VT, NH, CT, RI, ME}  {Midwest states} = not a well­defined set, people have different ideas about what is Midwest  ways to represent sets o via an unambiguous rule: P = prime numbers between 2 and 20 o via a list, eg P = {2, 3, 5, 7, 11, 13, 17, 19} o “…” notation: {2, 4, 6, 8, 10…2020} is all even numbers between 2 and 2020  can also be used to represent infinite sets, eg {1, 4, 9, 16, 25, 36…} means infinite set of all square numbers o set builder notation: {x|x is an even number between 2 and 2020 inclusive}={the set of x such that x is…}  more notation o “7  P” reads “7 is an element of P” o “8 (arrow with a line through it) P” reads “8 is not an element of P”  relations between sets o subsets: A is a subset of B if all elements of A are also elements of B  A=states with one syllable name=Maine  B=New England States  So BA because Maine is a New England state  C=states with 2 word names, so the same relationship cannot be made because there are two word states not in New England  Q: How many subsets does {1, 2, 3} have o A: subsets of {1, 2, 3}= {2}, {1}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}  Empty set: a set with no elements, denoted by  o {x|x is a prime number bigger than 11 and less than 13} is an empty set  back to

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Chapter 5, Problem 5.2.15 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

This textbook survival guide was created for the textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign), edition: 3. Since the solution to 5.2.15 from 5 chapter was answered, more than 236 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 7 chapters, and 1985 solutions. The answer to “find the orthogonal projection of v onto the subspace W spanned by the vectors ui . (You may assume that the vectors ui are orthogonal.)” is broken down into a number of easy to follow steps, and 25 words. The full step-by-step solution to problem: 5.2.15 from chapter: 5 was answered by , our top Math solution expert on 01/29/18, 04:03PM. Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780538735452.

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find the orthogonal projection of v onto the subspace W spanned by the vectors ui . (You