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Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 8.1 - Problem 6
Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 8.1 - Problem 6

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# Get solution: For each of the matrices in Exercises 1 through 6, find an orthonormal ISBN: 9780136009269 434

## Solution for problem 6 Chapter 8.1

Linear Algebra with Applications | 4th Edition

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Problem 6

For each of the matrices in Exercises 1 through 6, find an orthonormal eigenbasis. Do not use technology.

Step-by-Step Solution:
Step 1 of 3

M303 Section 5.3 Notes- Diagonalization 12-7-16  Recall diagonal matrix- only (possible) nonzero entries are on diagonal o Ex. Simple to compute powers 5 0 2 5 0 5 0 52 0  [0 3] = [0 3 0 3 ]= [ 2] 3 2 02 3 3  [5 0] = [5 0 ] [5 0]= [5 0 ][5 0]= [5 0 ] 0 3 0 3 0 3 0 3 2 0 3 0 33 5 0 5 0  [0 3] = [0 3] o Commute in multiplication  Not all matrices can be diagonal, but class of diagonalizable matrices exists that has many of same properties of diagonal matrices o × matrix diagonali

Step 2 of 3

Step 3 of 3

##### ISBN: 9780136009269

The full step-by-step solution to problem: 6 from chapter: 8.1 was answered by , our top Math solution expert on 03/15/18, 05:20PM. Since the solution to 6 from 8.1 chapter was answered, more than 230 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 41 chapters, and 2394 solutions. The answer to “For each of the matrices in Exercises 1 through 6, find an orthonormal eigenbasis. Do not use technology.” is broken down into a number of easy to follow steps, and 18 words. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 4. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009269.

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