Lesson 34: linear algebra – HP 48G User Manual
Page 98
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Lesson 34: Linear Algebra
The HP 48 includes a number of useful linear algebra commands
in (die 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
H P . ¡ S C ! S f r i e s U s e r ' s
G u i d e
for
details
about
these commands, try the following
example
as
Find the eigenvalues and eigenvectors of matrix A:
-2
2
-;r
, 4 = 2
1 - 6
- 1
- 2
0
Exiiiiiple;
S t e p 1 :
Using the Matrix Writer, enter matrix A onto the stack.
(x£)
2 P7T| (
enter
1 2
(ENTER)
3 (^^
(ENTER) (▼] 2(ENTER)
1
(ENTER)
6
(Tn (ENTER)
1
(V-1 (ENTER)
2
UGU]
(ENTER)0 (ENTER)
(ENTER)
1: [[ - 2 2 - 3 ]
[ 2 1 - 6 ]
[ -1 -2 0 ]]
UaMiianMialiiHaBtniaBmTiasraa
S i e p 2 :
Find the eigenvectors and eigenvalues of the matrix.
( M T H )
( N X T )
2: [[ 1 .5 1 ]
[ -.2.,.
1:
[ -3 5 -3 ]
The eigenvectors are shown on level 2 and the eigenvalues on level 1.
The related command, EGVL, computes only the eigenvalues.
7-14 Calculus, Statistics and Advanced Mathematics