Consider the ellipse defined by the equation 2x² + 3xy +2y2 = 1/7 Find a linear change of coordinates (x, y)→ (u, v) that transforms the equation of the ellipse into the standard form 85 + 12 b2 = 1 for some constants a and b. What is the geometric interpretation of the new basis?
Consider the ellipse defined by the equation 2x² + 3xy +2y2 = 1/7 Find a linear change of coordinates (x, y)→ (u, v) that transforms the equation of the ellipse into the standard form 85 + 12 b2 = 1 for some constants a and b. What is the geometric interpretation of the new basis?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 26RE
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