The set of all values of for which the system of linear equations aligned 2x_1 - 2x_2…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Applications and Interpretation · Number and Algebra · Number and Algebra

Problem

The set of all values of

\lambda

for which the system of linear equations

\begin{aligned} 2x_1 - 2x_2 + x_3 &= \lambda x_1 \\ 2x_1 - 3x_2 + 2x_3 &= \lambda x_2 \\ -x_1 + 2x_2 &= \lambda x_3 \end{aligned}

has a non-trivial solution (1) contains two elements (2) contains more than two elements (3) is an empty set (4) is a singleton