Cramer's Rule in Complex Frequency Domain.

AI Thread Summary
Cramer's Rule can be applied in the frequency domain since it operates with complex numbers, which form a field similar to real numbers. While it can simplify solving two simultaneous equations by hand, it may not be the most efficient method. For computational purposes, using matrix math or functions like rref() in software such as MATLAB is recommended, especially if the calculator supports complex numbers. Ultimately, the choice of method depends on the context and tools available. Cramer's Rule is valid but may not always be the optimal approach for solving equations in the frequency domain.
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Does Cramer's rule work in frequency domain? For example, if we have to solve two simeltaneous equations, as in nodel analysis or mesh-current method, can we use Cramer's rule to solve em? Would this be an efficient method?
 
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Peon666 said:
Does Cramer's rule work in frequency domain?

Yes. The frequency domain is simply complex numbers, which is a field just like the real numbers.

Peon666 said:
Would this be an efficient method?

Not necessarily more efficient, but maybe easier with complex numbers if you are doing it by hand on two simultaneous equations. If you are using a calculator or matlab, then just use matrix math or rref(). They should both work, depending on whether or not your calculator can handle complex numbers.
 
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