HP 48G Series Quick Start Manual page 100

Lesson 34: Linear Algebra
The HP 48 includes a number of useful linear algebra commands
in the MTH MATRIX command menu. You will find commands
for finding the determinant, inverse, transpose, rank, trace, spectral
radius and norm, condition number, eigenvalues, and eigenvectors of a
matrix. Additionally, you can compute the reduced row echelon form
of a matrix and decompose appropriate matrices using any of several
different decompositions (LU, LQ, QR, Schur, and single-value).
While you should consult chapter 14 of the HP 48G Series User's
Guide for details about these commands, try the following example as
a sample.
Example: Find the eigenvalues and eigenvectors of matrix A:
-2 2 3
A=] 2 1 —-6
-1 -2 0
Step 1: Using the Matrix Writer, enter matrix A onto the stack.
1: [[ -2 2 -3_1
[ 21-61]
[ -1 -2 B 11
(ENTER) (¥) 2 (ENTER) 1 (ENTER) propryiNMTCECE
Step 2: Find the eigenvectors and eigenvalues of the matrix.
201.510 [2
: [ -3 5-31]
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7-14 Calculus, Statistics and Advanced Mathematics