HP 49g+ - Manual (Page 124)

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