(a) Use Equation (3) and Exercises 39 and 40 to show that (b) Show that PS(T is...

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(a) Use Equation (3) and Exercises 39 and 40 to show that
Ps-r = M' Mr.

(b) Show that PS(T is nonsingular.
(c) Verify the result in part (a) of Example 4.
Let S = [v1, v2, ( ( ( ( vn} and T = {w1, w2, ( ( ( ( wn} be ordered bases for the vector space Rn.

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