Question: Problem 6 (15 points}: Suppose A, B are constants such that A2 + 32 = 1, consider the following system of equations: A1 + By

 Problem 6 (15 points}: Suppose A, B are constants such that

Problem 6 (15 points}: Suppose A, B are constants such that A2 + 32 = 1, consider the following system of equations: A1\" + By + z = B 1, An: + By = B, BJ: + A3; = II}. (a) (8 pts) Show that the system of equations has a unique solution for all possible values of A, B, and solve the equation in terms of A, B. (b) (7 pts) Regarding a: as a function of A, 5', nd the minimum and the maximum values of 2

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