Find inequalities that must be satisfied by a and
(a) Show that ax21- 2bx1x2 + cx22 is positive-definite if and only if a > 0 and ac > b2.
(b) Find inequalities that must be satisfied by a and b to ensure that 2x21 + ax22 + 3x23 - 2x1x2 + 2bx2x3 is positive-definite.
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