HP 49g Graphing Calculator - Manual (Page 60)

To extract the matrix of
imaginary
parts From a complex matrix
1. Select the Imaginary Part function.
0 COMPLEX IM
2. Enter or select the complex matrix whose imaginary components you
want to extract.
3. Press
The result is a matrix comprising just the imaginary components of the
complex matrix.
Linear algebra topics
The use of matrix functions to solve systems of linear equations is
covered in chapter 8 of the HP 49G User’s Guide. This section covers
other important linear algebra commands.
Eigenvalues and eigenvectors
A square (n x ?z) matrix A is said to have an eigenvalue X and a
corresponding eigenvector x if Ax = ?tx.
Eigenvalues are the roots of the characteristic equation—det(A - H) =
0—which is a polpromial of degree n. Thus, A has n eigenvalues, although
they are not always distinct. Each eigenvalue has a corresponding
eigenvector.
The HP 49G allows you to compute either the eigenvalues only (a faster
computation) or both the eigenvalues and their corresponding
eigenvectors.
To compute the eigenvalues For a square matrix
1. Select the Eigenvalues command.
EIGENVECTOR EGVL
2. Enter or select the square (n x n) matrix whose eigenvalues you want
to calculate.
3. Press
The result is a vector of n eigenvalues.
Matrices and linear algebra Page 5-19