## Solve Systems of Equation with Complex Coefficients

Discussion around the Swiss Micros DM42 calculator.
gduncan
Posts: 18
Joined: Sat Mar 03, 2018 2:18 pm

### Solve Systems of Equation with Complex Coefficients

Is there a way to solve a system of equations on the DM42 with complex coefficients? i.e. A*X=B; where A contains complex numbers of the form a+jb.
Any help would be appreciated.

Thanks,

Greg

Logan
Posts: 34
Joined: Sat Jul 08, 2017 11:03 pm

### Re: Solve Systems of Equation with Complex Coefficients

Perhaps I'm misunderstanding but would it be the same as with a regular matrix but just using a complex matrix?

Create the empty matrix, press Enter to duplicate it, then press COMPLEX to create a complex matrix. Then fill in the matrix with the complex numbers?

Create correctly sized matrix A, duplicate it, turn it complex, and then edit it to fill in the complex numbers.
Create correctly sized matrix B, duplicate it, turn it complex, and then edit it to fill in the complex numbers.
Inverse A, then multiply it by B (A^-1 in y-register, B in X).
DM42 SN:00210
DM41X SN:00014

gduncan
Posts: 18
Joined: Sat Mar 03, 2018 2:18 pm

### Re: Solve Systems of Equation with Complex Coefficients

Thank you for this information. This is exactly what I needed to know.

whuyse
Posts: 67
Joined: Thu Dec 21, 2017 12:23 pm

### Re: Solve Systems of Equation with Complex Coefficients

Logan wrote:
Wed Nov 07, 2018 5:30 pm
Inverse A, then multiply it by B (A^-1 in y-register, B in X).
With B in Y and A in X, divide. This is both faster and more accurate than inverting A, then multiplying by B.

Cheers, Werner
42S #3249S01123
DM42 #00345

Walter
Posts: 1550
Joined: Tue May 02, 2017 9:13 am
Location: Close to FRA, Germany

### Re: Solve Systems of Equation with Complex Coefficients

gduncan wrote:
Wed Nov 07, 2018 4:15 pm
Is there a way to solve a system of equations on the DM42 with complex coefficients? i.e. A*X=B; where A contains complex numbers of the form a+jb.
Any help would be appreciated.
There's a very nice manual available for the HP-42S which is the mother of Free42 which is the mathematical part of the SW running on the DM42. Just search the web a bit.
DM42 SN: 00041 Beta
WP 43S running on this device

HP-35, HP-45, ..., HP-50, WP 34S, WP 31S, DM16L

grsbanks
Posts: 947
Joined: Tue Apr 25, 2017 9:23 am
Location: Preston, Lancs, UK
Contact:

### Re: Solve Systems of Equation with Complex Coefficients

There are only 10 kinds of people in the world: those who understand binary and those who do not.