Find the characteristic roots and characteristic vectors of the matrix given by

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- May 3rd 2009, 11:27 PMzorroFind the characteristic roots and characteristic vector
Find the characteristic roots and characteristic vectors of the matrix given by

- May 4th 2009, 02:10 AMGamma
This matrix is already in diagonal form. You find the roots of the characteristic polynomial det(A-Ix). In this case, they are just the things on the diagonal.

To find the "characteristic vectors" I assume you are talking about the eigenvectors. Simply put the eigenvalue in for x in A-Ix (just subtract the value from the diagonal). Then you set that equal to 0 and find a basis for this solution space (the null space). This is the basis for the kernel of . - May 4th 2009, 02:28 AMmr fantastic
- May 4th 2009, 02:43 AMGamma
Whoa! whoops. Yeah exactly. it is 4:42 am here, I think it is bedtime, lol. Take care.

- Dec 19th 2009, 11:23 PMzorroI am stuck here
- Dec 19th 2009, 11:42 PMCaptainBlack
- Dec 20th 2009, 01:39 AMzorroIs this what u are talking
- Dec 20th 2009, 02:49 AMdedust