Advantage Pac Matrix manipulaltions (simple version)
The Advantage Pac has quite extensive Matrix handling functions, mostly beyond anything I ever would need….
The simple MATRX
program allows the entry of a square matrix (real or complex), and can calculate the INVERSE
and DETERMINANT
of it.
The square matrix entered can be the coefficients of a set of simultaneous equations, and entering a second matrix allows the system to be solved.
| 2 -3 | | -4 8 |
Run the MATRX
program ( XEQ ALPHA MATRX ALPHA
)
Options presented :
RL CX
Press RL
A
Option presented :
ORDER=?
2R/S
Options presented:
A I DT B SE
A
Enter the Matrix elements
2 R/S 3 CHS R/S 4 CHS R/S 8 R/S
Options presented :
A I DT B SE
If A
is part of a system of equations, for example
2x - 3y = 6 -4x + 8y = -2
Then enter matrix B
| 6 | |-2 |
B
6 R/S 2 CHS R/S
Solve the System of Equations with SE
SE
Result is now in B
B
1:1 = 10.5 R/S 2:1 = 5 R/S
This means if
2x - 3y = 6 -4x + 8y = -2
Then X = 10.5 and y = 5
Check
(2 * 10.5) - (3*5) = 6 -(4 * 10.5) + (8 * 5) = -2
CORRECT!
A
now holds the LU-Decomposition
version of the original A
To restore the contents of A
to normal simply INVERT
A
twice
I I
Check A
A
1:1 = 2.00 1:2 = -3.00 2:1 = -4.00 2:2 = 8.00
Find the Determinant of A
DT
DET = 4.00
That's pretty much all for MATRX
with a real matrix.
You can chose CX
at the beginning, and enter the Real and Imaginary parts of each Matrix element if you are dealing with a complex matrix.
— John Pumford-Green 05/08/22 11:55