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Unformatted text preview: (a) A is positive deﬁnite if and only if all the eigenvalues of A are (strictly) positive. (b) A is positive semideﬁnite if and only if all the eigenvalues of A are nonnegative. (c) A is negative deﬁnite if and only if all the eigenvalues of A are (strictly) negative. (d) A is negative semideﬁnite if and only if all the eigenvalues of A are nonpositive. (e) A is indeﬁnite if and only if A has a positive eigenvalue and a negative eigenvalue. Suggested Exercises. Read Section 23.1 of Simon and Blume (1994) and work on Exercises 23.1–23.5 of Simon and Blume (1994). 1...
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This note was uploaded on 10/22/2009 for the course ECG 765 taught by Professor Fackler during the Fall '07 term at N.C. State.
 Fall '07
 FACKLER

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