When to use RREF in finding Eigenvectors

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Using RREF (Reduced Row Echelon Form) can simplify the process of finding eigenvectors by making it easier to express systems in parametric vector form, particularly when a pivot position is involved. However, it is important to note that RREF does not maintain the same eigenvalues as the original matrix, which can lead to confusion. In some cases, row echelon form may be sufficient for solving eigenvector problems. The choice between RREF and row echelon form often depends on the specific context and the desired clarity in the solution process. Understanding when to apply RREF is crucial for effectively finding eigenvectors.
selig5560
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Hi,

I have a quick question, when should one use RREF in finding eigvenvectors? I've read through some books and sometimes they use them and sometimes they do not. I'm sorry for such a potentially stupid question.

Thanks,

Zubin
 
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It could be that having one in the pivot position position makes it easier to write system in parametric vector form. Otherwise row echelon form would suffice.
 
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Where did you find that "they sometimes use them"? The row reduced form of a matrix does NOT in general have the same eigenvalues as the original matrix so I do see how row reducing could help.
 
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