Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y² + 6V2x + 2/2y + 9 = 0 (a) Identify the resulting rotated conic. ellipse...

(Linear Algebra)

7.4: Applications of Eigenvalues

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Extracted text: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y² + 6V2x + 2/2y + 9 = 0 (a) Identify the resulting rotated conic. ellipse parabola O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)