Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated quadratic form for this conic and write it in matrix form Fond an orthogonal diagonalization for this quadratic form and use it to rewrite the equation as a recognizable shift conic section. which type of conic section is this?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
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Consider the conic section described by the
equation 6x^2 -4xy +9y^2 -20x-10y-5.
Find the associated quadratic form for this conic
and write it in matrix form
Fond an orthogonal diagonalization for this
quadratic form and use it to rewrite the
equation as a recognizable shift conic section.
which type of conic section is this?
Transcribed Image Text:Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated quadratic form for this conic and write it in matrix form Fond an orthogonal diagonalization for this quadratic form and use it to rewrite the equation as a recognizable shift conic section. which type of conic section is this?
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