Circuit and Matrix Applications of Linear Algebra

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The discussion centers on the application of linear algebra in circuit analysis, specifically using matrices to determine loop currents and nodal voltages. Participants suggest exploring additional matrix applications, such as Z, Y, ABCD, S, and hybrid networks, which can enhance understanding of circuit behavior. The ability to combine circuit subsections through matrix operations is highlighted as a valuable technique. Acknowledgment is given to the suggestions, which will aid in the project. The conversation also notes that knowledge of differential equations can further expand the application of matrices in circuit analysis.
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HI, I'm doing a project on applications of linear algebra to circuits. So far I've found how to use matrices to find loop currents and nodal voltages. I'm having a hard time finding more applications, as I have little knowledge of circuits and I haven't taken differential equations yet. Are there any other basic applications that I can apply matrix mathematics to? Any help is appreciated.
 
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Loop up Z, Y, ABCD, S, and hybrid networks. All are modeled using matrices. The neatest part is you can multiply or add matrices by combining different circuit subsections.
 
Thanks for the reply. I looked up your suggested topic and it should give me plenty to discuss in my paper. It actually help to explain one of the problems in my text. I really appreciate the help, thank you :smile:
 
Since you have not taken differential equations this will be of no help, but a nth order scalar differential equation can be rewritten as a first order matrix differential equation.
 
I am trying to understand how transferring electric from the powerplant to my house is more effective using high voltage. The suggested explanation that the current is equal to the power supply divided by the voltage, and hence higher voltage leads to lower current and as a result to a lower power loss on the conductives is very confusing me. I know that the current is determined by the voltage and the resistance, and not by a power capability - which defines a limit to the allowable...

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