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(b) If is a positive definite quadratic form, then so is .
(c) If A is a matrix with positive eigenvalues, then is a positive definite quadratic
form.
(d) If A is a symmetric matrix with positive entries and a positive determinant, then A
is positive definite.
(e) If is a quadratic form with no cross-product terms, then A is a diagonal matrix.
(f) If is a positive definite quadratic form in x and y, and if , then the graph of
the equation is an ellipse.
What property must a symmetric matrix A have for to represent a circle?
20.
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