practice(exam1)MA262fall2011

# C 1 3 y 3 1 3 y 6 x c 13 ab 5 7 15 12 20 17 7 35 and

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c 1 3 y 3 - 1 3 y 6 = x + c 0 13. AB = 5 7 - 15 - 12 0 20 17 7 - 35 and BA = 27 30 33 - 22 - 24 - 26 - 27 - 30 - 33

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4 INSTRUCTOR: RAPHAEL HORA 15. 0 0 0 0 16. (a) There are two free variables. x 2 = a, x 4 = b, x 1 = - 9 - a + 10 b, x 3 = - 7 + 7 b. (b) The system has NO solution. (c) x 1 = 2 , x 2 = - 1 , x 3 = 3 . 17. (a) a 6 = 5 and a 6 = - 3. (b) a = 5 and b = 12 or a = - 3 and b = - 4 . 18. A - 1 = - 8 12 - 5 - 5 7 - 3 1 - 2 1
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