11.5. (Sec. 11.2) Let the characteristic roots of ~ be Al ~ A2 ~ ... ~ Ap...

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11.5. (Sec. 11.2) Let the characteristic roots of ~ be Al ~ A2 ~ ... ~ Ap ~ O.

(a) What is the form of I if Al = A2 = .. ' = Ap > O? What is the shape of an ellipsoid of constant density?

(b) What is the form of I if Al > A2 = .. , = Ap > O? What is ttoe shape of an ellipsoid of constant density?

(c) What is the form of I if Al = ... = Ap_ 1 > Ap > O? What is the shape of the ellipsoid of constant density?

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