Up: 8.45 (b)
Previous: 8.45 (b), §1
- The matrix P-1 A P is the new matrix A' after a basis
transformation described by a transformation matrix P.
- To get A' diagonal, we want to take the new basis to be the
eigenvectors
and
of A.
- A transformation matrix consists of the new basis vectors
expressed in terms of the old basis:
![](img5.gif)
Check:
![](img6.gif)
![](img7.gif)
Up: 8.45 (b)
Previous: 8.45 (b), §1
10/08/01 0:02:35