A positive definite matrix cannot have a zero (or even worse, a negative number) on its
Chapter 6, Problem 6.2.21(choose chapter or problem)
A positive definite matrix cannot have a zero (or even worse, a negative number) on its diagonal. Show that this matrix fails to have x TAx > 0: h x1 x2 x3 i 4 1 1 1 0 2 1 2 5 x1 x2 x3 is not positive when (x1,x2,x3) = ( , , ).
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