5. Let S be the set of all points (x11, X12, X13, X22, x23; X33) E K® such that the matrix x11 *12 x13 *12 T22 X23 T13 223 r33 is positive semidefinite. Is the set S convex? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 40E
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5. Let S be the set of all points (x11, x12, X13, X22, x23; X33) E ® such that the matrix
X11 *12 *13
T12 T22 *23
I13 T23 r33
is positive semidefinite. Is the set S convex? Justify your answer.
Transcribed Image Text:5. Let S be the set of all points (x11, x12, X13, X22, x23; X33) E ® such that the matrix X11 *12 *13 T12 T22 *23 I13 T23 r33 is positive semidefinite. Is the set S convex? Justify your answer.
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