Eigen Vectors

[aryabhatta01]

Need to find the Eigen Vectors of 3x3 matrix ( 3 0 0, -3 4 9, 0 0 3). The Eigen values are 3 , 3 , 4. Eigen vectors for Eigen Value = 3 has come (3,0,1) and Eigen Vector for Eigen Value = 4 has come ( 0 , 0 , 0) . Could you please confirm if he Eigen Vectors which I have found out is correct or not. If incorrect, please let me know the correct ones

 

[MaxWong]

The correct ones are:
Eigenvectors corresponding to eigenvalue 3 are (3, 0, 1) and (1, 3, 0).
Eigenvector corresponding to eigenvalue 4 is (0, 1, 0).

 

[blamocur]

Could you please confirm if he Eigen Vectors which I have found out is correct or not.

There is an easy way to check correctness of you solution: just use the definition of eigenvalues and eigenvectors.