2.2.1: Sistemas de Ecuaciones Lineales y Método Gauss-Jordan (Ejercicios)

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SECCIÓN 2.2 CONJUNTO DE PROBLEMAS: SISTEMAS DE ECUACIONES LINEALES

Resuelve lo siguiente por el Método Gauss-Jordan. Mostrar todo el trabajo.

1)\ comenzar {alineado} x+3 y&=1\\ 2 x-5 y&=13 \ end {alineado}	2)\ begin {alineado} x-y-z&=-1\\ x-3 y+2 z&=7\\ 2 x-y+z&=3 \ end {alineado}
3)\ comenzar {alineado} x+2 y+3 z &=9\\ 3 x+4 y+z &=5\\ 2 x-y+2 z &=11 \ end {alineado}	4)\ comenzar {alineado} x+2 y&=0\\ y+z&=3\\ x+3 z&=14 \ end {alineado}

SECCIÓN 2.2 JUEGO DE PROBLEMAS: SISTEMAS

Resuelve lo siguiente por el Método Gauss-Jordan. Mostrar todo el trabajo.

5) Dos manzanas y cuatro plátanos cuestan $2.00 y tres manzanas y cinco plátanos cuestan $2.70. Encuentra el precio de cada uno.	6) Un tazón de hojuelas de maíz, una taza de leche y un huevo aportan 16 gramos de proteína. Una taza de leche y dos huevos aportan 21 gramos de proteína. Dos tazones de hojuelas de maíz con dos tazas de leche aportan 16 gramos de proteína. ¿Cuánta proteína aporta una unidad de alimento?
7)\ comenzar {alineado} x+2 y&=10\\ y+z&=5\\ z+w&=3\\ x+w&=5 \ end {alineado}	8)\ comenzar {alineado} x+w &=6\\ 2 x+y+w &=16\\ x-2 z &=0\\ z+w &=5 \ end {alineado}

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