Given the following equation: 2.a2 – 4.xy – 20z + 2y? + 2yz + 52² – 10x + 6y – 2z – 7 = 0, represents a conic or a quadric? Solve: a. represents a conic or a quadric? Solve: b. Display quadratic form and linear form. c. What is the matrix associated with the quadratic form?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the following equation:
2a? – 4xy – 2xz + 2y? + 2yz + 522 – 10x + 6y – 2z – 7 = 0,
represents a conic or a quadric? Solve:
a. represents a conic or a quadric? Solve:
b. Display quadratic form and linear form.
c. What is the matrix associated with the quadratic form?
Transcribed Image Text:Given the following equation: 2a? – 4xy – 2xz + 2y? + 2yz + 522 – 10x + 6y – 2z – 7 = 0, represents a conic or a quadric? Solve: a. represents a conic or a quadric? Solve: b. Display quadratic form and linear form. c. What is the matrix associated with the quadratic form?
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