April 25, 2007

Didn't Mr. Eigen have anything better to do?

An n x n matrix A is said to be diagonalizable if there exists a nonsingular matrix X and a diagonal matrix D such that

(X^-1)(A)(X) = D

Furthermore, if A is diagonalizable, then the column vectors of the diagonalizing matrix X are eigenvectors of A, and the diagonal elements of D are the corresponding eigenvalues of A.


(In other words, I have a linear algebra test tomorrow...)

2 comments:

Anonymous said...

yep, whatever you said, we agree, hehehehe

Rebecca said...

oh no...I would much rather read about KNITTING!