Classify the following quadratic forms: (a) 2x² + y² +22² - 2xy - 2yz (b) 3x² + 7y² +22² - 4xy - 4xz (c) 16x² + 36y² + 172² + 32xy + 32xz +16yz (d) -21x² + 30xy-12xz - 11y² + 8yz - 22²2 x²-3y²-52² + 2xy + 2xz + 2yz (e)

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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Classify the following quadratic forms:
(a) 2x² + y² +22² - 2xy - 2yz
(b) 3x² + 7y² + 2z² - 4xy - 4xz
(c) 16x +36y + 17z² + 32xy + 32xz +16yz
(d) -21x² + 30xy-12xz - 11y+8yz - 2z²
(e) x²-3²-52² + 2xy + 2xz + 2yz
Transcribed Image Text:Classify the following quadratic forms: (a) 2x² + y² +22² - 2xy - 2yz (b) 3x² + 7y² + 2z² - 4xy - 4xz (c) 16x +36y + 17z² + 32xy + 32xz +16yz (d) -21x² + 30xy-12xz - 11y+8yz - 2z² (e) x²-3²-52² + 2xy + 2xz + 2yz
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