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Unformatted text preview: 5 x 1-10 x 2 =-95; 10 . 2 x 1-20 x 2 =-188 . (a) [0.5pt] Compute the determinant of A and discuss the systems’s condition. (b) [0.5pt] Solve for x 1 and x 2 . (c) [1pt] Solve again, but with a 11 modiﬁed slightly to 5.02. Interpret your results. 1 4. For given the following three equations: x 1 + 2 x 3 = 3; 2 x 1 + x 2 + x 3 = 2; 4 x 1-2 x 2 + x 3 = 7 (a) [0.5pt] Rewrite the above equation in the form of A ~x = ~ b where A is a 3-by-3 matrix and ~x = ( x 1 ,x 2 ,x 3 ) T , and determine whether A is invertible or not. (b) [1.5pt] Find ~x using the Gauss Elimination method. (c) [1pt] If A is invertible (check by computing the determinant of A ), ﬁnd A-1 using the Gauss-Jordan Method. (d) [1pt] Find an LU decomposition of A . 2...
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This note was uploaded on 11/14/2011 for the course EAME 250 taught by Professor Lee during the Spring '11 term at Case Western.
- Spring '11