Overdetermined systems - PowerPoint PPT Presentation

Lecture on Numerical Analysis

Lecture on Numerical Analysis. Dr.-Ing. Michael Dumbser. 01 / 12 / 2008. Linear Algebra. A standard task in linear algera is finding the solution of a system of linear equations of the form. The solution to this task is given by the so-called Gauß-algorithm : Define a new matrix C as.

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Section 2.3

Section 2.3. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Theorem. If the number of equations is greater than or equal to the number of variables then the system has no solution, one solution, or infinitely many solutions.

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