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Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.2 - Problem 2
Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.2 - Problem 2

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# Compute the eigenvalues and associated eigenvectors of the following matrices. 4 0 0 2

ISBN: 9781305253667 457

## Solution for problem 2 Chapter 7.2

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition

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Problem 2

Compute the eigenvalues and associated eigenvectors of the following matrices. 4 0 0 2 -1 a. d. 1 -2 1 -2 b. -1 i 3 -1 i 6 3 2 --1 1 2 0 0 I -2 3 e. -1 1 2 0 2 0 4 2 2 _ i 3 J C. f

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3/2/2016 Trigonometric Substitutions (Sect. 7.2) Things to know: sin(x)+cos2(x=1∧1+tan 2(x=sec 2(x)  This allows you to compute the integrals containing the following expressions. b −x usesin (u) x +b usetan (u)  √ √ 2 2 1  √ x −b usesec(u)∨ cos(u) ≠  b is any real number 0 b −x dx  ∫ √  Substitute bsin(u) for the value of x  x = bsin(u)  dx = bcos(u)du  ∫ √b −b sin (u) bcos(u)du  Factor out the b2 1−sin (u) ¿ b ¿  √ ¿ ∫ ¿ 2 2 2

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Compute the eigenvalues and associated eigenvectors of the following matrices. 4 0 0 2