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(b)
(c)
(d)
(e)
(f)

     Let be a quadratic form in , , …, and define by .
13.

(a) Show that                               .

(b) Show that  .

(c) Is T a linear transformation? Explain.

     In each part, find all values of k for which the quadratic form is positive definite.
14.

         (a)

(b)

(c)
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