Question: Let and (a) Show that A is positive definite and that xTAx = xTBx for all x R2. (b) Show that B is positive definite,

Let

A =

and

Let and (a) Show that A is positive definite and that xTAx

(a) Show that A is positive definite and that xTAx = xTBx for all x ˆˆ R2.
(b) Show that B is positive definite, but B2 is not positive definite.

A =

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