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2010FallMT1

2010FallMT1 - Midterm 1 Tuesday October 5 Sections 7...

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Unformatted text preview: Midterm 1 : Tuesday October 5 Sections : 7, 10 (Instructor Al Momin) Remark: For the actual midterm, take only 10 questions out of the following 15. We will randomly remove 1 problem from the set { 1 , 2 , 3 , 4 } , 2 problems from the set { 5 , 6 , 7 } , 1 problem from the set { 8 , 10 } , and 1 problem from the set { 12 , 13 } (leaving 10 questions as claimed). 1. If x, y, z solve the following system of equations x- y- z = 2- x + 2 y + z =- 3 x +- z = 2 then which of the following is true about y A. y = 0 necessarily. B. y = 1 necessarily. C. y =- 1 necessarily. D. y can be any real number E. There is no value of y such that ( x, y, z ) solves the linear system. 2. The number of solutions to the following system of equations 2 x + y- z = 2- x + y + z =- 3 x + 5 y + 2 z =- 5 is: A. B. 1 C. 2 D. 3 E. ∞ 3. The number of parameters needed to completely describe the solution set of the system of 3 equations in the 5 variables u, v, w, x, y 2 u + v + w- 2 y = 2 u + 2 w- 3 x + y = 2 u +- v + 3 w- 6 x + 4 y = is 1 A. B. 1 C. 2 D. 3 E. 4 4. For what values of r, s, t are the following system of equations consistent?...
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2010FallMT1 - Midterm 1 Tuesday October 5 Sections 7...

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