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HP 48gx User Manual

HP 48gx
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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)
propry
iN
MT
CECE
Step
2:
Find
the
eigenvectors
and
eigenvalues
of
the
matrix.
201.510
[2
:
[
-3
5-31]
IEE
CTE
ET
ETT
Te
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

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HP 48gx Specifications

General IconGeneral
BrandHP
Model48gx
CategoryCalculator
LanguageEnglish

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