spain-selectividad 2020 QA.1

spain-selectividad · Other · selectividad__madrid_matematicas-II_ordinaria 2.5 marks Simultaneous equations
Consider the following system of equations depending on the real parameter a:
$$\left. \begin{array} { l } x + a y + z = a + 1 \\ - a x + y - z = 2 a \\ - y + z = a \end{array} \right\}$$
It is requested:\ a) (2 points) Discuss the system according to the different values of a.\ b) (0.5 points) Solve the system for $\mathrm { a } = 0$.
Consider the following system of equations depending on the real parameter a:

$$\left. \begin{array} { l } 
x + a y + z = a + 1 \\
- a x + y - z = 2 a \\
- y + z = a
\end{array} \right\}$$

It is requested:\
a) (2 points) Discuss the system according to the different values of a.\
b) (0.5 points) Solve the system for $\mathrm { a } = 0$.