Thread: Basis of Eigenspace using Eigenvalues

1. Basis of Eigenspace using Eigenvalues

Two questions-First I need to find the basis of eigenspace for the matrix
A=-1 0 4 using it's eigenvalue, which i got to be 1.
0 1 0
-1 0 3

Second i need the dimension of the eigenspace of the matrix A=5 -1, 4 9
using the eigenvalue, which i got to be 7.

Any help would be great!

2. The second matrix is A=5 -1
4 9