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2.2: Operaciones en números complejos
https://espanol.libretexts.org/Matematicas/Algebra_lineal/Libro%3A_%C3%81lgebra_lineal_(Schilling%2C_Nachtergaele_y_Lankham)/02%3A_Introducci%C3%B3n_a_los_n%C3%BAmeros_complejos/2.02%3A_Operaciones_en_n%C3%BAmeros_complejos
Entonces $z_{1} + z_{2} = (x_{1} + x_{2}, y_{1} + y_{2}) = (x_{2} + x_{1}, y_{2} + y_{1}) = z_{2} + z_{1}.$ \ begin {alinear*} (x_ {1} + y_ {1} i) (x_ {2} + y_ {2} i) & = x_ {1} x_ {2} + x_ {1} y_...Entonces $z_{1} + z_{2} = (x_{1} + x_{2}, y_{1} + y_{2}) = (x_{2} + x_{1}, y_{2} + y_{1}) = z_{2} + z_{1}.$ \ begin {alinear*} (x_ {1} + y_ {1} i) (x_ {2} + y_ {2} i) & = x_ {1} x_ {2} + x_ {1} y_ {2} i + x_ {2} y_ {1} i + y_ {1} y_ {2} i^ {2} \\ & = x_ {1}} x_ {2} + x_ {1} y_ {2} i + x_ {2} y_ {1} i - y_ {1} y_ {2} \\ & = x_ {1} x_ {2} - y_ {1} y_ {2} + (x_ {1} y_ {2} + x_ {2} y_ {1}) i. \ end {alinear*}

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