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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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