Hi, I want to find out the eigenvector of this matrix, but I am not sure how, because there are some zeros in the columns:

[-7/10 0 0

7/10 -3/10 0

0 3/10 -1/10]

The formula came out to be:

[0 0 0

0 4/10 0

0 3/10 6/10]

I used the online calculator to found that the eigenvectors are

(8, -14, 7) for -7/10

(0, -2, 3) for -3/10

(0, 0, 1) for -1/10

Can anyone show me the arithmatic (just one is enough for an example)

Thanks,

Ted