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Unformatted text preview: 7 3 7 4 4 2 and vector b = 1 2 3 4 (a) Check whether Gaussian elimination with scaled partial pivoting can be applied to solve the equation Ax = b . (b) Solve the equation Ax = b for x using Gaussian elimination with scaled partial pivoting. ( 5+5 points ) 2.4. (Bonus) Let we are given n × n matrix A such that its all n principal minors are nonsingular. Show that A has an LU-decomposition. ( 10 bonus points ) Due: 17.02.10, at 3 pm (in the mailbox labeled Linsen in the entrance hall of Res.I )...
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- Spring '10
- Numerical Analysis, equation Ax, partial pivoting, Prof. Dr. Lars Linsen