When to use RREF in finding Eigenvectors

selig5560

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

halo31

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.

HallsofIvy

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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selig5560	When to use RREF in finding Eigenvectors 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

halo31	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.

HallsofIvy Recognitions: Gold Member Science Advisor Staff Emeritus	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.