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Unformatted text preview: 1 1 1 2 2133 1 12 3331 1 111 1 3 1 522 4 Augmented Matrix Su 97 EGN 3420 Exam 2 Name___________________ SHOW ALL WORK! Problem 3 (25 pts) Find the value(s) of K in the system of equations below which result in an infinite number of solutions. Use only methods discussed in class. x 1 + 4x 2 + 7x 3 =5 x 1 + x 2 + x 3 = 1 2x 1 + 3x 2 + 4x 3 = x 1x 2 + Kx 3 = Su 97 EGN 3420 Exam 2 Name___________________ SHOW ALL WORK! Problem 4 (30 pts) Consider the system of equations Ax =b below. 1. Find the inverse of A and the solution x =A1 b . 2. Perform two iterations of the GaussSeidel method and compute the true errors in x, y and z, i.e. (E T ) x , (E T ) y and (E T ) z at the end of the second iteration. Start with an initial guess of x = y = z = 1. 5x + y + z = 45 x + 5y + z = 25x + y + 5z =55...
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 Spring '11
 klee
 ........., Invertible matrix, Elementary matrix

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