Question: 3.13 Nearest nonnegative vector. Let x be an n-vector and define y as the nonnegative vector (i. e., the vector with nonnegative entries) closest to

3.13 Nearest nonnegative vector. Let x be an n-vector and define y as the nonnegative vector (i. e., the vector with nonnegative entries) closest to x. Give an expression for the elements of y. Show that the vector z = y - x is also nonnegative and that zy = 0

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