Question: Consider the matrix: A = 3 3 0 1 2 0 4 0 1 a) Show that (xTranspose)Ax = 1/2(xTranspose) (A + ATranspose )x for

Consider the matrix:

A =

3 3 0

1 2 0

4 0 1

a) Show that (xTranspose)Ax = 1/2(xTranspose) (A + ATranspose )x for all values of x = (x1, x2, x3)Transpose.

b) Show that this is true for any square matrix A.

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