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# Let x and y be vectors in Rn and define p = xT y yT y y and z = x p (a) Show that p z ISBN: 9780136009290 436

## Solution for problem 18 Chapter 5.1

Linear Algebra with Applications | 8th Edition

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Problem 18

Let x and y be vectors in Rn and define p = xT y yT y y and z = x p (a) Show that p z. Thus, p is the vector projection of x onto y; that is, x = p + z, where p and z are orthogonal components of x, and p is a scalar multiple of y. (b) If _p_ = 6 and _z_ = 8, determine the value of _x_. 1

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##### ISBN: 9780136009290

The full step-by-step solution to problem: 18 from chapter: 5.1 was answered by , our top Math solution expert on 03/15/18, 05:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 921 solutions. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009290. Since the solution to 18 from 5.1 chapter was answered, more than 209 students have viewed the full step-by-step answer. The answer to “Let x and y be vectors in Rn and define p = xT y yT y y and z = x p (a) Show that p z. Thus, p is the vector projection of x onto y; that is, x = p + z, where p and z are orthogonal components of x, and p is a scalar multiple of y. (b) If _p_ = 6 and _z_ = 8, determine the value of _x_. 1” is broken down into a number of easy to follow steps, and 76 words. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8.

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