1. Tardigrade
  2. Question
  3. Mathematics
  4. The system of linear equations: x + y + z = 0, 2x + y - z = 0, 3x + 2y = 0 has :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The system of linear equations : $x + y + z = 0, 2x + y - z = 0, 3x + 2y = 0$ has :

VITEEEVITEEE 2019

Solution:

The system is homogenuous system.
$\therefore $ it has either unique solution or infinitemany solution depend on $|A|$
$\therefore \left|A\right|=\begin{vmatrix}1&1&1\\ 2&1&-1\\ 3&2&0\end{vmatrix}$
$=2-3+1=0$