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An interesting fact is that Tn (x) equals the determinant of the tridiagonal n by n

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 9 Chapter 8.3

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 9

An interesting fact is that Tn (x) equals the determinant of the tridiagonal n by n matrix A - x I 0-. I..2 *..1 , o 0 o 0 1' 2x Verify this fact for where n = 1, 2, 3.

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▯ Color Photography ▯ 1839: when photography was invented (Daguerreotype)  hand-colored because they didn’t know how to preserve color  rosy hue on cheeks: make them look more alive  Lended a bit of artistry to photography ▯ Photochromes  Starts with B+W photo and then paints in the color in the process of chromolithography: you add colors one by one to get a full color image  William Henry Jackson – brought lots of negatives and used this process, pictures of west  Individual photographers weren’t credited  Postcards made o African American cotton pickers in the south ▯ James Clerk Maxwell: three filters, red blue and green: you can get a color image

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Chapter 8.3, Problem 9 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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An interesting fact is that Tn (x) equals the determinant of the tridiagonal n by n