4. Give an example of an indefinite quadratic form on R³ whose corresponding symmetric matrix has no zero entries, and for which the entries are as simple (using small numbers) as you can. Prove that your quadratic form is indefinite. What are the maximum and minimum values your given quadratic form takes on the set ||x|| = 1?

4. Give an example of an indefinite quadratic form on R³ whose corresponding symmetric matrix has no zero entries, and for which the entries are as simple (using small numbers) as you can. Prove that your quadratic form is indefinite. What are the maximum and minimum values your given quadratic form takes on the set ||x|| = 1?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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