(Linear Algebra)6.Pls help thanks Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.9x2 – 6xy + 9y² – 49 = 0(a) Identify the resulting rotated conic.parabolaellipsehyperbola(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter12: Conic Sections

Section12.CT: Chapter Test

Problem 16CT: aUse the discriminant to determine whether the graph of the following equation is a parabola, an...

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Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.
9x2 – 6xy + 9y² – 49 = 0
(a) Identify the resulting rotated conic.
parabola
ellipse
hyperbola
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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