- #1
LeakyFrog
- 22
- 0
Hey I'm studying for an exam and one of the things i need to know is this:
4. Given the eigenvalues of a matrix:
a) Determine the characteristic polynomial.
b) Find vectors than can act as bases for the associated eigenspaces.
Part a seems relatively straight forward but for part b I wondering if you need to be given a matrix along with the eigenvalue. Or is there a way where if you are just given eigenvalues that you can find bases for eigenspaces without the matrix. Almost seems impossible but i just figured I would ask.
Thanks!
4. Given the eigenvalues of a matrix:
a) Determine the characteristic polynomial.
b) Find vectors than can act as bases for the associated eigenspaces.
Part a seems relatively straight forward but for part b I wondering if you need to be given a matrix along with the eigenvalue. Or is there a way where if you are just given eigenvalues that you can find bases for eigenspaces without the matrix. Almost seems impossible but i just figured I would ask.
Thanks!