The flash animations were developed by Jean-Michel Claus (with voiceover by Gilbert Strang). We are grateful! Funding was provided by a grant from the The d'Arbeloff Fund for Excellence in MIT Education as part of The d'Arbeloff Interactive Mathematics Project (d'A I M P).
Matrix Multiplication
An interactive demo (with voiceover explanation) on Matrix Multiplication, A = LU, and PA = LU
Eigenvalue Demonstrations
The demonstrations below employ Java® applets with voice-over narration to show some Eigenvalue concepts.
Demo 1 - This 3-minute demo shows eigenvectors of 2 by 2 matrices
The demo is also broken into 7 independent pieces:
Demo 2 - Powers AnV lead toward the top eigenvalue/eigenvector
Mini-lectures on Eigenvalues
The mini-lectures with voice-over narration below help to explain some key Eigenvalue concepts.
Full Lecture (all eight together)
Or view individually (about 2 minutes each)
- det(A-\lambda I)=0
- Eigenvectors and Trace
- Powers
- Diagonalization
- Differential Equations
- Symmetry
- Positive Definite
- SVD