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Matrices can be used for circuit analysis because a circuit component can have an impedance matrix, an admittance matrix or a scattering matrix, of order equal to the number of ports the circuit has. This can also be used for antenna arrays when you have an antenna circuit connected to a feeder (transmission-line) circuit.

Matrices are also used in the numerical solution of linear equations: when you have a system of N equations it needs matrices of order N.

In field theory integral equations arise which can be solved numerically by using a piecewise-linear approximation which turns an integral equation into a set of linear equations. This is used for analysing raio antennas using the method of moments.

All the above applications are coded into software which can be bought and used but designing the sotware falls inside the remit of electrical engineering.

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Q: What are the applications of matrices in electrical engineering?
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