(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)