- #1

iamsmooth

- 103

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My textbook doesn't seem to explain it clearly enough for me to comprehend. But from what I can see, after getting the eigenvalues, you sub them back into the lambdas that are in the matrix:

[tex](\lambda I - A)x = 0[/tex]

From here, you can solve for the system of equations with Gaussian elimination. After you solved it, the eigenvector is determined by the values of each unknown, where they take the coefficient of the parameters (if present).

(quick example) So if I get a matrix and reduce it to RRE that says:

[ 1 0 2 ]

[ 0 1 3 ]

[ 0 0 0 ]

The the values are:

X

X

X

So the vectorspace I get from this is:

[ 2 ]

[ 3 ]

[ 1 ]

Or something?

This is probably way wrong. Can someone please help explain to me how to calculate eigenvectors? I need it to solve one of my problems.** I will personally send Christmas cards to anyone who helps me with understanding this (provided that you pm me your address)**

[tex](\lambda I - A)x = 0[/tex]

From here, you can solve for the system of equations with Gaussian elimination. After you solved it, the eigenvector is determined by the values of each unknown, where they take the coefficient of the parameters (if present).

(quick example) So if I get a matrix and reduce it to RRE that says:

[ 1 0 2 ]

[ 0 1 3 ]

[ 0 0 0 ]

The the values are:

X

_{3}= tX

_{2}= 3tX

_{1}= 2tSo the vectorspace I get from this is:

[ 2 ]

[ 3 ]

[ 1 ]

Or something?

This is probably way wrong. Can someone please help explain to me how to calculate eigenvectors? I need it to solve one of my problems.** I will personally send Christmas cards to anyone who helps me with understanding this (provided that you pm me your address)**

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