. Define the vector z transform (generating function):Gp(z) = n=0p(n)zn.Show that(a)

Chapter 7, Problem 3

(choose chapter or problem)

. Define the vector z transform (generating function):Gp(z) = n=0p(n)zn.Show that(a) Gp(z) = p(0)[I zP]1, where I is the identity matrix. Thus P n is thecoefficient of zn in the matrix power-series expansion of (I zP)1.(b) Using the result obtained above, give an alternative proof of Theorem 7.1.

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