(i) q(x) = 3x2 + 2xy +5yz + 7y2 – 2z2 %3D -
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs
Problem 33E: Write a quadratic function with the given repeated zero. 2i
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Question
Examine whether the following quadratic forms are positive definite, negative definite or indefinite.
![c) Examine whether the following quadratic forms are positive defir
definite or indefinite.
(i)
q(x) = 3x2 + 2xy +5yz + 7y2 – 2z2
%3D
(ii)
q(x) = 2x2 - 4y2 + 10xy- 7yz - 11xz +3z?
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9e87e71-ed1b-432b-9af4-ceac31071fea%2Ff35e1ef6-4c91-4276-a9df-18d700bb4706%2Fribaya_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c) Examine whether the following quadratic forms are positive defir
definite or indefinite.
(i)
q(x) = 3x2 + 2xy +5yz + 7y2 – 2z2
%3D
(ii)
q(x) = 2x2 - 4y2 + 10xy- 7yz - 11xz +3z?
%3D
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