Cryptocurrency Q&A
Does Gaussian elimination change eigenvalues?
Does Gaussian elimination change eigenvalues?
Martino
Tue Dec 24 2024
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7 answers
1517
I am wondering if Gaussian elimination, which is a method used to solve systems of linear equations, has any effect on the eigenvalues of a matrix. Specifically, does applying Gaussian elimination to a matrix alter its eigenvalues in any way?
7 answers
CryptoNinja
Thu Dec 26 2024
Specifically, Gaussian elimination can affect the computation of eigenvalues and eigenvectors.
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Silvia
Thu Dec 26 2024
Gaussian elimination is a well-known algorithm in linear algebra.
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GalaxyWhisper
Thu Dec 26 2024
Eigenvalues and eigenvectors are crucial in understanding the properties of a matrix.
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noah_wright_author
Thu Dec 26 2024
It is primarily used for solving systems of linear equations and finding the rank of a matrix.
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Isabella
Thu Dec 26 2024
They provide insights into the behavior of linear transformations and are used in various fields such as physics and engineering.
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