User Manual

100 Section 4: Using Matrix Operations
100
matrix A + ΔA represented by the LU decomposition. It can be zero only if the product's
magnitude becomes smaller than 10
−99
(underflow).
Applications
The following programs illustrate how you can use matrix operations to solve many types of
advanced problems.
Constructing an Identity Matrix
This program creates an identity matrix I
n
in the matrix whose descriptor is in the Index
register. The program assumes that the matrix is already dimensioned to n × n. Execute the
program using G8. The final matrix will have l's for all diagonal elements and 0's for all
other elements.
Keystrokes
Display
|¥
Program mode.
´CLEARM
000-
´b8
001-42,21, 8
´>1
002-42,16, 1
Sets i = j = 1.
´b9
003-42,21, 9
l0
004- 45 0
l1
005- 45 1
|T6
006-43,30, 6
Tests i ≠ j.
|`
007- 43,35
|T5
008-43,30, 5
Tests i = j.
“
009- 26
Sets elements to 1 if i = j.
´UO%
´U
010u 44 24
Skips next step at last element.
t9
011- 22 9
|n
012- 43 32
|¥
Run mode.
Labels used: 8 and 9.
Registers used: R
0
, R
1
, and Index register.