Let K be a positive definite 3 3 matrix. (a) Prove that the quadratic equation xTKx
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(a) Prove that the quadratic equation xTKx = 1 defines an ellipsoid in R3. What are its principal axes and semi-axes?
(b) Describe the surface defined by the quadratic equation 11x2 - 8xy + 20y2 - 10xz + 8yz + 11z2 = 1.
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a Same method as in Exercise 8424 Its principal ...View the full answer
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