spain-selectividad 2022 QA.1

spain-selectividad · Other · selectividad__madrid_matematicas-II 2.5 marks Simultaneous equations
Given the following system of linear equations dependent on the real parameter $m$ :
$$\left. \begin{array} { l } x - 2 m y + z = 1 \\ m x + 2 y - z = - 1 \\ x - y + z = 1 \end{array} \right\}$$
a) (2 points) Discuss the system as a function of the values of $m$. b) ( 0.5 points) Solve the system for the value $m = \frac { 1 } { 2 }$
Given the following system of linear equations dependent on the real parameter $m$ :

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

a) (2 points) Discuss the system as a function of the values of $m$.\\
b) ( 0.5 points) Solve the system for the value $m = \frac { 1 } { 2 }$