(1.3 hours to learn)


Diagonalization refers to factorizing a matrix as A = SDS^-1, where D is a diagonal matrix. The entries of D correspond to the eigenvalues of A, and the columns of S correspond to the eigenvectors. The diagonal representation is useful for computing powers of matrices. Unfortunately, not all matrices are diagonalizable.


This concept has the prerequisites:

Core resources (read/watch one of the following)


MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang
A First Course in Linear Algebra (2012)
A linear algebra textbook with proofs.
Author: Robert A. Beezer
Additional dependencies:
  • complex vectors and matrices


See also

-No Additional Notes-