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Unformatted text preview: x r f( x l ) f( x r ) e A , % 0.0000 2.0000 c) Find the true root R of f x 4 ( ) = by letting y = x 2 and solving the resulting quadratic in y for its two roots and then using x y = . d) Find the true error E T = R  x r . Sp 2000 EGN 3420 Exam I Name_____________ SHOW ALL WORK! Problem 3 (25 pts) Solve the system of equations A x = b below by the GaussJordan Method, i.e. start with the augmented matrix (A  b ) and transform it to (I  b ') by a sequence of elementary row operations so that the solution is x = b '. 2 4 3 4 2 8 3 2 10 u x y z u x y z u x y z u x y z+=+ + + = + += + + + = Sp 2000 EGN 3420 Exam I Name_____________ SHOW ALL WORK! Problem 4 (25 pts) The system of equations A x = b below is inconsistent, i.e. there is no solution. Find the value(s) of K . x x x x x x x x x x x x Kx x x x 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 7 4 1 2 4 3 2 4 2 3 2 3 4 + +=+=+ + + = + += Hint: The matrix A must be singular....
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 Spring '11
 klee
 Derivative, Taylor Series, 5 %, Analytic function, true error ET

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