Positive definite matrix
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Which 3 by 3 symmetric matrices A produce following functions f = X^T A X ?
Why is the first matrix positive definite but not the second one?
a) f = 2 (X1^2 + X2^2 + X3^2 - X1X2 - X2X3)
b) f = 2 (X1^2 + X2^2 + X3^2 - X1X2 - X1X3 - X2X3)
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Positive definite matrix is assessed.
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