Question: 19. Let C be defined by *c* *ij* = *a* *ij* *b* *ij* , *i, j* = 1, 2, 3, where A and B are
19. Let C be defined by *c**ij* = *a**ij**b**ij*, *i, j* = 1, 2, 3, where A and B are positive definite matrices defined below. Show that C is positive definite, and hence illustrates Theorem 12.2.8.
A =
[ 3 1 -1 ]
[ -1 2 2 ]
[ -1 2 4 ]
B =
[ 1 -1 1 ]
[ -1 4 1 ]
[ 1 1 6 ]
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