This preview shows page 1. Sign up to view the full content.
Unformatted text preview: e matrix product in Mathematica instead using ComplexDiagonalization1.nb.
Discuss the commands Eigenvalues, Eigenvectors, notation for parts of expressions, Transpose,
MatrixForm, Inverse and the notation for matrix multiplication. Obtain and
. ■ Alternatively, there is the Real Canonical Form that allows us to stay in the real number system.
Suppose has eigenvalue
, eigenvector
and their complex conjugates.
Then writing
in real and imaginary parts: Taking real and imaginary parts 2
Chapter 2 part B Consider the transformation matrix . These equation can be written
. The exponential of the
Eq. 2.31). block on the right was computed at the end of section 2.3 (Meiss, Example. Let . Find its real canonical form and compute found the eigenvalues and eigenvectors. Setting
, . The transformation matrix and its inverse are
, . Find
, . Using Meiss 2.31
. Compute . Find
,
.■ Diagonalizing an arbitrary semisimple matrix we have . We have already 3
Chapter 2 part B Suppose has real eigenvalues and
pairs of complex conjugate ones. Let
be the corresponding real...
View
Full
Document
This document was uploaded on 02/24/2014 for the course MATH 512 at Washington State University .
 Fall '14
 MarcEvans

Click to edit the document details