Let A be an m n matrix of rank n and let P = A(AT A) 1AT . (a) Show that Pb = b for every b R(A). Explain this property in terms of projections. (b) If b R(A) , show that Pb = 0. (c) Give a geometric illustration of parts (a) and (b) if R(A) is a plane through the origin in R3.
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Survey of Mathematics Math 2623 CH 1-3 “Operations Research” GOAL: optimize a result subject to constraints • Optimize- to make best of • Constraints- additional conditions which must be satisfied by something Typically real life conditions • Example: working workers over 40 hours means more money but by law you cannot work workers over 40 hours (constraint) CHAPTER 1: Urban Services • Example: shoveling snow, checking parking permits, etc. Parking Control Officer Problem #1 = at least one parking meter Pool Park Find a route for parking control officer using sides of stree
Textbook: Linear Algebra with Applications
Author: Steven J. Leon
The answer to “Let A be an m n matrix of rank n and let P = A(AT A) 1AT . (a) Show that Pb = b for every b R(A). Explain this property in terms of projections. (b) If b R(A) , show that Pb = 0. (c) Give a geometric illustration of parts (a) and (b) if R(A) is a plane through the origin in R3.” is broken down into a number of easy to follow steps, and 65 words. Since the solution to 9 from 5.3 chapter was answered, more than 230 students have viewed the full step-by-step answer. Linear Algebra with Applications was written by and is associated to the ISBN: 9780321962218. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 935 solutions. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 9. The full step-by-step solution to problem: 9 from chapter: 5.3 was answered by , our top Math solution expert on 03/15/18, 05:26PM.