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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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?
Transcribed Image Text: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?
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