Suppose that A = _ a 8 2 4 _ , X = _ x y _ , and B = _ b1 b2 (a) Show that when a _= 4

Chapter 9, Problem 58

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Suppose that A = _ a 8 2 4 _ , X = _ x y _ , and B = _ b1 b2 (a) Show that when a _= 4, AX = B has exactly one solution. (b) Suppose a = 4. Find conditions on b1 and b2 such that AX = B has (i) infinitely many solutions and (ii) no solutions. (c) Explain your results in (a) and (b) graphically. A

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