- #1
colossus__
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Homework Statement
The problem is rather simple. A set of linear equations, in the form V=Z*I, is given to represent a circuit in the frequency domain. The values for the V and I vectors are given and i have the Z(impedance) matrix written in function of the Z1, Z2, Z3,...,Zn variables?
In a simpler way: How to solve the A*x=B equation, when the values for the x and B vectors are given, and A is written in function of A1, A2, A3,...,An variables.
In my case, the A matrix looks like this:
|A1 -A2 0 |
|A1 0 -A3|
|1 1 1 |
x vector:
-0.26
0.259 - i0.966
0.259 + i0.966
B vector:
150 + i0.342
-150 + i0.342
0
Homework Equations
As simple as stated before, the only equation is the A*x=B. My example with all the complex numbers is not the best to ask for help in this subject, but it's the one that has led me to it.
The Attempt at a Solution
So far i have tried algebraic manipulation of the A*x=B equation multiplying it by A^-1 in the attempt to somehow reduce the matrix into a vector or any of the vectors into a matrix.
I tought maybe eigenvectors and eigenvalues could be involved in the solution of this problem, but since i don't have any linear algebra books around and don't really remember how to use this stuff, I'm hoping you guys could help me with this one.
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