Let x and y be vectors in Rn and define p = xT y yT y y and z = x p (a) Show that p z
Chapter 5, Problem 18(choose chapter or problem)
Let x and y be vectors in Rn and define p = xT y yT y y and z = x p (a) Show that p z. Thus, p is the vector projection of x onto y; that is, x = p + z, where p and z are orthogonal components of x, and p is a scalar multiple of y. (b) If _p_ = 6 and _z_ = 8, determine the value of _x_. 1
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