Herrera Mejia

02/20/2023 · Primary School

We consider the system given by the following augmented matrix \( \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \\ 2 & -3 & 1 & 10 \\ -2 & 1 & 1 & -6\end{array}\right] \) Is there a value of \( \alpha \) such that \( x=\alpha, y=1, z=3 \) is a solution of the system? Choose the correct value of \( \alpha \). \( \begin{array}{l}\alpha=4 \\ \text { None of the given options are correct } \\ \alpha=-5 \\ \alpha=-4 \\ \alpha\end{array} \) \( \begin{array}{l}\alpha=5 \\ 0\end{array} \)