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Characterizing A Matrix (the Matrix Norm Menu); Function Det; Function Trace; Solution Of Linear Systems - HP 49g+ User Manual

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Characterizing a matrix (The matrix NORM menu)

The matrix NORM (NORMALIZE) menu is accessed through the keystroke
„ ´
sequence
. This menu is described in detail in Chapter 10 of the
calculator's User's Guide. Some of these functions are described next.

Function DET

Function DET calculates the determinant of a square matrix. For example,

Function TRACE

Function TRACE calculates the trace of square matrix, defined as the sum of
the elements in its main diagonal, or
Examples:

Solution of linear systems

A system of n linear equations in m variables can be written as
a
x
+ a
x
11
1
12
2
a
x
+ a
x
21
1
22
2
a
x
+ a
x
31
1
32
2
.
.
a
x
+ a
x
n-1,1
1
n-1,2
a
x
+ a
x
n1
1
n2
2
n
tr
(A
)
a
.
ii
i
1
+ a
x
+ ...+ a
13
3
1,m-1
+ a
x
+ ...+ a
23
3
2,m-1
+ a
x
+ ...+ a
33
3
3,m-1
.
...
.
+ a
x
+ ...+ a
2
n-1,3
3
n-1,m-1
+ a
x
+ ...+ a
n3
3
n,m-1
x
+ a
x
= b
,
m-1
1,m
m
1
x
+ a
x
= b
,
m-1
2,m
m
2
x
+ a
x
= b
,
m-1
3,m
m
3
.
.
x
+ a
x
= b
,
m-1
n-1,m
m
n-1
x
+ a
x
= b
.
m-1
n,m
m
n
Page 9-7

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