In three dimensions, 1y 2 1 +2y 2 2 +3y 2 3 = 1 represents an ellipsoid when all i > 0
Chapter 6, Problem 6.2.12(choose chapter or problem)
In three dimensions, 1y 2 1 +2y 2 2 +3y 2 3 = 1 represents an ellipsoid when all i > 0. Describe all the different kinds of surfaces that appear in the positive semidefinite case when one or more of the eigenvalues is zero.
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