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Anonymous Posted on Dec 05, 2010

Solve a matrix of complex numbers using ti89 or any other ti calculator

  • Anonymous Dec 05, 2010

    Thanks for your reply. What I need to know is if the ti- 89 calculator can solve the following systmem of equations..

    (1 2i)x (2 4i)y = 1
    (4 4i)x (2 3i)y = 4

    Do we have to use the solve fucntion as we do for other linear equations or use rref matrix and does the calculator allows entries of complex numbers in the matrix or just real numbers

×

1 Answer

Rick Hurd

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  • Posted on Dec 05, 2010
Rick Hurd
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Well, the equation is Ax=b and we want so solve for x
There are several ways of entering the data, but this is one way
Code: A=[15+35i 29+1i; 46+13i 62+3i]
b=[0;0]
x=A\b which has the trivial solution x=[0;0] (the ";" means "next row", a space next column.) To input a matrix use APPs then Data/Matrix Editor then New. Then change Data to Matrix. Put in the name such as "AA" in the variable field. Then enter row and column dimensions. Then edit as a spread sheet. Use F6(util) to delete a column or row. To manipulate matrices, exit the matrix application, then go to MATH then Matrix. Notice that J(RowOpps) is available. Good luck and thank you for using FixYa! We would sure appreciate a 4 "thumbs-up" rating for this answer. Happy holidays!

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Complex matrix

Is it complex or matrix? You can have only one mode at a time.What kind of equations? The solve function uses real-valued equations.
Complex numbers: You can add, subtract, multiply and divide. You can convert a number from rectangular to polar forms and vice-versa; you can calculate the absolute value of a complex number, or a conjugate.
All the operations are done in the Mode CMPLX.
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This calculator can do some arithmetic with complex numbers, and it can do some operations with matrices. Unfortunately the two do not intersect. You cannot do complex matrix operations with this calculator.
Sorry if that wasn't the answer you wanted to see. That's just the way the calculator works.
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The TI-84 allows only real numbers in a matrix.

You can write programs to deal with complex numbers in lists, simulating matrices. One such program is at http://www.ticalc.org/archives/files/fileinfo/250/25081.html
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If I understand correctly you want to perform matrix calculations on matrices the coefficients of which may be numbers and/or letters (variables, parameters). While you can calculate on numerical matrices, you cannot do so with matrices with non numerical coefficients. this calculator does not know symbolic algebra.

For symbolic algebra and calculus you would need a calculator with a CAS, Computer Algebra System. Exemples of those are the TI89, Ti92, Ti Voyage 200 PLT, The Casio FX-Algebra, the Casio ClassPad, HP48S/X/G/GX/G+, HP49G/49G+, HP50G, HP48GII etc.

Hope it Helps.
Thanks for using FixYa and for rating this solution.

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I received this solution, but at the end the calculator asked me about some invalid certificate. Now the ti 89 is stuck at the boot screen because if I retry, it goes thru the whole process again and asks...

Hello,
The answer I gave you was taken verbatim from the TI FAQ and knowledge base. I copied and pasted the part relevant to you calculator.
In any case, I sent an e-mail message to [email protected], giving the link to your original question and my answer to it. I took the liberty to copy/paste your present message. I also asked about that invalid certificate.
All we can do know is wait for their reply.

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I do not have the calculator, so I checked the whole manual. There is no reference to matrices. So you cannot use use this calculator to solve matrix problems.

Sorry.
That should not prevent you from rating the solution.
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