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Get Full Access to Linear Algebra With Applications - 8 Edition - Chapter 4.6 - Problem 24
Get Full Access to Linear Algebra With Applications - 8 Edition - Chapter 4.6 - Problem 24

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# Consider the following matrices A. The columns of the Q are obtained from A by applying ISBN: 9781449679545 435

## Solution for problem 24 Chapter 4.6

Linear Algebra with Applications | 8th Edition

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Problem 24

Consider the following matrices A. The columns of the Q are obtained from A by applying the Gram-Schmidt Orthogonalization Process. Find a QR factorization of A. Check your answers. (a) A [ l l Q = [1''{5 2/Vs -2Vsl 1/Vs (b) A Q [ ; 3 5 J [ 5/6 -1/6 ] 1/6 5/6 -3/6 1/6 1/6 3/6 c) A 0 1 [ t/v'3 1/Vl -t/v'6 ] Q = 11V3 -1/Vl -11v'6 11V3 0 21v'6 (d) A [I ,J [ t/v'6 1/] 21v'6 Q -1v'6 11V3 11V3 [ 1 ll (e) A 5 -1 [3/v'i3 -21v'i4 -21v'i82 l Q = 2/ 3/v'i4 3/\/'i82 -11v'i4 13 Jv'i82

Step-by-Step Solution:
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Lecture 1: Introduction Simplify the Expressions: 1. 5(3x+4)-4 = 15x+20-4 = 15x+16 2. 4(5y-3)-(6y+3) = 20y-12-6y-3 = 24y-15 3. l -5-3 l = l-8 l = 8 Order of Operations Please Excuse My Dear Aunt Sally = Parenthesis Exponents Multiplication Division Addition Subtraction Exponents: 3 2 5 1. (x 1/3x 2/3 x 1 2. (x ) (x ) = x =x 3. (x ) = x 12 4. y / y = y 3 0 5. z =-2 2 6. ¼ = 4 = 16 7. 1/(-x) = (-x)2 8. 7x y = 7y /x 5 9. (-3x y ) = 81x y 12 Square Roots: 1. √81 = 9 2 2. √81x = 9x 3. √100/9 = 10/3 4. √500 = √5(100) = 10 √5 5. √ 48 x /√6 x = √8x 2 = 2x √2 6. 5 √x+7 x√12√ x 7√ √ 12=7 3+√ 3=9√√ 7. 8. 1/ √ 7= √/7

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##### ISBN: 9781449679545

Linear Algebra with Applications was written by and is associated to the ISBN: 9781449679545. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8. The full step-by-step solution to problem: 24 from chapter: 4.6 was answered by , our top Math solution expert on 03/15/18, 05:22PM. Since the solution to 24 from 4.6 chapter was answered, more than 224 students have viewed the full step-by-step answer. The answer to “Consider the following matrices A. The columns of the Q are obtained from A by applying the Gram-Schmidt Orthogonalization Process. Find a QR factorization of A. Check your answers. (a) A [ l l Q = [1''{5 2/Vs -2Vsl 1/Vs (b) A Q [ ; 3 5 J [ 5/6 -1/6 ] 1/6 5/6 -3/6 1/6 1/6 3/6 c) A 0 1 [ t/v'3 1/Vl -t/v'6 ] Q = 11V3 -1/Vl -11v'6 11V3 0 21v'6 (d) A [I ,J [ t/v'6 1/] 21v'6 Q -1v'6 11V3 11V3 [ 1 ll (e) A 5 -1 [3/v'i3 -21v'i4 -21v'i82 l Q = 2/ 3/v'i4 3/\/'i82 -11v'i4 13 Jv'i82” is broken down into a number of easy to follow steps, and 106 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 56 chapters, and 1286 solutions.

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