20. Let
Which of the following is a basis for the subspace
of R3 generated by the eigenvectors of A corresponding
to the eigenvalue 6:
| A
| B
| C
|
| D
| E
|
Solution: The answer is B.
The system of equations that determine the eigenvectors
for the eigenvalue 6 are
The solution of this system is x = 0, z = 0, y arbitrary. So the answer is B.