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Unformatted text preview: MATH 51 MIDTERM October 20, 2005 Name: Numeric Student ID: Instructor’s Name: I agree to abide by the terms of the honor code: Signature: Instructions: Print your name, student ID number and instructor’s name in the space provided. During the test you may not use notes, books or calculators. Read each question carefully and show all your work ; full credit cannot be obtained without sufficient justification for your answer unless explicitly stated otherwise. Underline your final answer to each question. There are 8 questions. You have 90 minutes to do all the problems. Question Score Maximum 1 10 2 15 3 10 4 10 5 10 6 10 7 10 8 10 Total 85 Question 5 of 8, Page 2 of 3 Solutions 1. Solve the following system of equations in the variables x, y, z, w : x y z + w = 5 y z + 2 w = 8 2 x y 3 z + 4 w = 18 If a solution exists, express your answer in parametric form. 2. Let A be the matrix 1 1 1 4 1 2 1 1 6 1 1 1 3 2 2 1 7 ....
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 '07
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 Math, Linear Algebra, Algebra, Differential Calculus, Naive set theory, Parametric equation, linearly independent set, parametric form

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