In each case, show that (v, w) = vTAw defines an inner product on R2 and hence

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In each case, show that (v, w) = vTAw defines an inner product on R2 and hence show that A is positive definite
(a)
In each case, show that (v, w) = vTAw defines

(b)

In each case, show that (v, w) = vTAw defines

(c)

In each case, show that (v, w) = vTAw defines

(d)

In each case, show that (v, w) = vTAw defines
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