Math 224-01: Differential Equations: Reading Homework 7.4
- Eigenvalues and Eigenvectors of Matrices :
- Eigenvalue Problems : what matrix equation are we solving to find eigenvalues and eigenvectors?
- Point : what is an eigenvalue? an eigenvector?
- Point : what is an eigenspace? how is it related to an eigenvector?
- Solving Eigenvalue Problems : how do we solve an eigenvalue problem? (how do we find the eigenvalues? the eigenvectors?)
- Point : why are we interested in the Eigenspace property? what does it tell us?
- Point : what is an eigenbasis?
- Point : what is a characteristic polynomial? what is the multiplicity of an eigenvalue? (how is this related to the polynomial?)
- Deficient Eigenspaces : what is a deficient eigenspace? how is it related to an eigenvalue?
- Point : what's a generalized eigenvector?
- Point : if we put regular and generalized eigenvectors together, are the vectors linearly independent? how many are there, total?
Math 224-01: Differential Equations: Reading Homework 7.4
Last Modified: Sun Apr 9 16:01:02 2000
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