Transformation Y-Δ with matrix?

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Jhenrique
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See: http://en.wikipedia.org/wiki/Y-Δ_transform#Basic_Y-.CE.94_transformation


Is possible to express the following relationships:

Three equations for Y-to-delta resistor conversion: R1 = RbRc/(Ra+Rb+Rc), R2 = RaRc/(Ra+Rb+Rc), R3 = RaRb/(Ra+Rb+Rc).



Three equations giving Ra, Rb and Rc as fractions: Ra = (R1R2 + R2R3 + R3R1)/R1, Rb = (R1R2 + R2R3 + R3R1)/R2, Rc = (R1R2 + R2R3 + R3R1)/R3.



using matrix?
 

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