Beatriz requiere saber el precio de venta de una cafetería.
Se requiere establecer un sistema de ecuaciones lineales y resolverlo empleando el método de Gauss Jordan.
El precio de las tostadas, el té y las arepitas de queso es :
Tostadas : 3 dolares
Té : 4 dolares
Arepitas de queso : 6 dolares
Explicación :
El método de Gauss Jordan plantea una matriz Mx = I, siendo I la matriz identidad ;
<img src="https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%264%5C%5C4%264%261%5C%5C2%263%264%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D35%2634%2642%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D" />
f₂ - 4f₁
f₃ - 2f₁
<img src="https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%264%5C%5C0%26-4%26-15%5C%5C0%26-1%26-4%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D35%26-106%26-28%5Cend%7Barray%7D%5Cright%5D" /> - f₃ → f₂
<img src="https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%264%5C%5C0%261%264%5C%5C0%26-4%26-15%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D35%2628%26-106%5Cend%7Barray%7D%5Cright%5D" />
f₃ + 4f₂
<img src="https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%264%5C%5C0%261%264%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D35%2628%266%5Cend%7Barray%7D%5Cright%5D" />
f₁ - 4f₃
f₂ - 4f₃
<img src="https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D11%264%266%5Cend%7Barray%7D%5Cright%5D" />
f₁ - 2f₂
<img src="https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%261%260%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20.%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%264%266%5Cend%7Barray%7D%5Cright%5D" />.