Hi

Could someone show me how to find the eigenvector of this matrix?

[1,0,0

0,1,0

0,0,1] ?

Thanks in advance.

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- Apr 22nd 2012, 06:46 AMzziziEigenvector of 3x3 matrix
Hi

Could someone show me how to find the eigenvector of this matrix?

[1,0,0

0,1,0

0,0,1] ?

Thanks in advance. - Apr 22nd 2012, 07:24 AMbartmeijerRe: Eigenvector of 3x3 matrix
Any $\displaystyle x \in R^3$ will do. (1,0,0), (0,1,0), (0,0,1) form a basis.

Your matrix is the identity matrix. Its characteristic polynomial is $\displaystyle (1-\lambda)^3$, which has three roots, each equal to 1. This is called a degenerate eigenstructure, where every linear combination of -- in this case -- three eigenvectors will have the same eigenvalue.

Hope this helps. - Apr 22nd 2012, 09:41 AMzziziRe: Eigenvector of 3x3 matrix
Thank you very much bartmeijer