mat67-2011-hw4

mat67-2011-hw4 - Homework Assignment #4 Math 67 UC Davis,...

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Unformatted text preview: Homework Assignment #4 Math 67 UC Davis, Fall 2011 This homework will not be collected. It is meant to help you prepare for the midterm exam on October 24. Reading material. Read Sections 5.46.5. Problems 1. Solve the following problems in the textbook: (a) Proof-writing exercise 6 in Chapter 5. (b) Calculational exercises 1(a),(b),(c),(f), 2(a)(b), 5, 6 in Chapter 6. (c) Proof-writing exercises 2, 3 in Chapter 6. 2. (a) Solve each of the following inhomogeneous linear systems by following the same 3 steps that you used for solving the homogeneous linear systems in the previous homework assignment (except that now the coefficient matrix is an augmented matrix). Remember that for inhomogeneous systems, in addition to the possibil- ities of having a unique solution and infinitely many solutions, there is now also a possibility of having no solutions at all. (i) x + 4 z = 2 y =- 1 (ii) 3 x- 3 y + 15 z =- 6 x + 2 y- z- w =- 3 x + 3 z + w =- 1 (iii) x + 3 y = 1- x- 2...
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mat67-2011-hw4 - Homework Assignment #4 Math 67 UC Davis,...

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