11 • -2 D a la-1 8. Let A = 1 la-9- 94 The linear system AX = B has: (A) more than one solution if and only if |al 3. (B) a unique solution if and only if |al + -3. (C more than one solution if a = -3. ((D) ho solution if a = 3. (E)None of the above. (Exactly one of the above statements is true.)

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X . Then the linear system AX = B has: -1 a la 11. Let A= Ia a-2 J [ 22 (A) a unique solution if and only if a +-2. (B) a unique solution if and only if a + 1. (C) more than one solution if a = -2. (D) no solution if a = 2. (E) more than one solution if a = 1. (As usual, only one of the above statements is true!)

].x = 23 ), and b = [ ]. Then the 1 2-21 6. Let A = 1 system of linear equations Ax=b (a) has a unique solution if and only a -1. (b) has no solutions if and only if a=3. (c) has infinitely many solutions if and only if a = 1 (d) has a unique solution for every value of a. (e) None of the above

7. Consider the following system of equations, depending on the parameter k (k +2.11 + 8.rı + x2 = (k + 4).x2 = 3k + 3 12 Which of the following is true? A) The system has no solution if k = 1. B) The system has infinitely many solutions if and only if k = -6. C) The system is consistent if and only if k + -6. D) The system has unique solution if and only if k +0. E) None of the above.

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11 • -2 D a la-1 8. Let A = 1 la-9- 94 The linear system AX = B has: (A) more than one solution if and only if |al 3. (B) a unique solution if and only if |al + -3. (C more than one solution if a = -3. ((D) ho solution if a = 3. (E)None of the above. (Exactly one of the above statements is true.)

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