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TRUE OR FALSE All orthogonal matrices are diagonalizable (over R)

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 41 Chapter 7

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 41

TRUE OR FALSE? All orthogonal matrices are diagonalizable (over R).

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1.1 and 1.2 Notes Summary Domain: the set of all x values (↔) Range: the set of all y values (↕) (To find domain of a function set the denominator equal to zero and solve, to find the range set the top equal to zero and solve.) X- Input // Y – Output Function: X value has only one Y value A function can be represented in a table, on a graph, and algebraically with a formula. A function must pass the Vertical Line test (VLT) to be considered a function. This means if a set of vertical lines is drawn and then function intersects a single line more than one, it fails the VLT. However, if it does not intersect, it passes. Even function: f(-x) = f(x) for f(x)  Symmetric to Y - Axis Odd Function: f(-x) = -f(x)  Symmetric to Origin Increasi

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Chapter 7, Problem 41 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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TRUE OR FALSE All orthogonal matrices are diagonalizable (over R)