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## anonymous 5 years ago What is the difference between and eingenvalue and an eigenvector?

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1. anonymous

eigenvalue is a number

2. anonymous

wht is the eigenvalue concept?

3. anonymous

For a square matrix, Eigen values are the solutions of the characteristic polynomial $$\det(A-\lambda I)=0$$

4. anonymous

can u give a example?

5. amistre64

a eugene vector is just a scaled vector; a eugene value is a number associated with ... yeah, those things

6. amistre64

|dw:1327247141581:dw|

7. anonymous

Now if $$\lambda$$ is characteristic roots (Latent roots) or Eigen Values of a square matrix $$A$$, then a non-zero vector $$X$$ such that $$AX=\lambda X$$ is called the Eigen vector of $$A$$.

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