# Characterizing A Matrix (the Matrix Norm Menu); Function Det; Function Trace; Solution Of Linear Systems, - HP 48gII User Manual

Graphing calculator.

## 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
⋅x
⋅x
a
+ a
11
1
12
⋅x
⋅x
a
+ a
21
1
22
⋅x
⋅x
a
+ a
31
1
32
.
.
⋅x
a
+ a
n-1,1
1
n-1,2
⋅x
⋅x
a
+ a
n1
1
n2
2
n
=
tr
(A
)
a
ii
=
i
1
⋅x
+ a
+ ...+ a
2
13
3
1,m-1
⋅x
+ a
+ ...+ a
2
23
3
2,m-1
⋅x
+ a
+ ...+ a
2
33
3
3,m-1
.
...
.
⋅x
⋅x
+ a
+ ...+ a
2
n-1,3
3
n-1,m-1
⋅x
+ a
+ ...+ a
n3
3
n,m-1
.
⋅x
⋅x
+ a
= b
,
m-1
1,m
m
1
⋅x
⋅x
+ a
= b
,
m-1
2,m
m
2
⋅x
⋅x
+ a
= b
,
m-1
3,m
m
3
.
.
⋅x
⋅x
+ a
= b
,
m-1
n-1,m
m
n-1
⋅x
⋅x
+ a
= b
.
m-1
n,m
m
n
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