Most impressive/complex/amazing C-series program?
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08-12-2018, 11:40 AM
Post: #35
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RE: Most impressive/complex/amazing C-series program?
(08-11-2018 07:01 PM)Dieter Wrote: Just multiply the second equation by a12/a21 so that the matrix becomes symmetric. This doesn't work though if \(a_{12}=0\) or \(a_{21}=0\). But then you can rearrange the columns such that this is not the case: \(\begin{bmatrix} a&b\\ 0&d \end{bmatrix} \begin{bmatrix} x\\ y \end{bmatrix} = \begin{bmatrix} e\\ f \end{bmatrix}\) → \(\begin{bmatrix} b&a\\ d&0 \end{bmatrix} \begin{bmatrix} y\\ x \end{bmatrix} = \begin{bmatrix} e\\ f \end{bmatrix}\) If both \(c\) and \(d\) are \(0\) the system is degenerate and we probably don't even think of solving it with a calculator. (08-11-2018 07:01 PM)Dieter Wrote: This does not take more than Handling all these cases properly gets probably a bit messy soon. Cheers Thomas |
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