Practice_exam2

Practice_exam2 - Math 262 Practice Midterm 2 1 Determine...

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Math 262, Practice Midterm 2 1. Determine all the values of a for which the system has no solution. x 1 + x 2 + x 3 = 2 2 x 1 + 3 x 2 + 2 x 3 = 5 x 1 + 3 x 2 + ( a 2 3) x 3 = a + 2 A. a = 0 only. B. a = 2 only. C. a = 2 or a = 2. D. a = 2 only. E. None of the above. 2. Which of the following set of functions is linearly independent? A. f 1 ( t ) = 1 , f 2 ( t ) = t 3 , f 3 ( t ) = t 2 + 2 t + 3 B. f 1 ( t ) = 2 , f 2 ( t ) = 3 t, f 3 ( t ) = 4 t 2 C. f 1 ( t ) = 3 , f 2 ( t ) = t 2 + 1 , f 3 ( t ) = t 2 1 D. f 1 ( t ) = t 3 , f 2 ( t ) = t 2 + 1 , f 3 ( t ) = 2 t 2 t, f 4 ( t ) = t 2 + t + 1 E. f 1 ( t ) = t 3 , f 2 ( t ) = 2 t 2 + 1 , f 3 ( t ) = 3 t 2 + 1 3. Determine all values of k so that { 1 + kx 2 , 1 + x + x 2 , 2 + x } is a basis for P 2 . A. k ̸ = 1 B. k ̸ = 2 C. k ̸ = 1 D. k = 1 E. k = 1 1
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4. Let A = 8 29 3 5 19 2 2 8 1 and A - 1 = a 5 1 1 2 1 b 6 c . Then a + b + c = A. 0
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This note was uploaded on 03/01/2012 for the course MA 262 taught by Professor Ber during the Fall '08 term at Purdue.

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Practice_exam2 - Math 262 Practice Midterm 2 1 Determine...

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