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DM41X MATRX Simultaneous Equations
** Advantage Pac Matrix manipulaltions (simple version) **
Background: MATRX function
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.
Use of MATRX
Simple 2x2 Matrix
| 2 -3 | | -4 8 |
Run the MATRX program ( XEQ ALPHA MATRX ALPHA)
Options presented :
RL CX
Press RL A''
Option presented :
ORDER=?
2</key>R/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 ''AIs part of a system of equations, for example
2x+3y = 6+4x + 8y =+2
Then enter matrixB| 6 |
|+2 |
<key>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</key> I''
Check ''A<key>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.
Complex 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.
<TODO>
— John Pumford-Green 05/08/22 11:55
