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If the system of equations $x+ ay =0, az+ y = 0 $ and $ ax+z = 0 $ has infinite solutions, then the value of a, is |
-2 -1 3 4 |
-1 |
The correct answer is option (2) : -1 The given system of equations will have infinitely many solutions, if $\begin{vmatrix} 1 & a & 0 \\ 0 & 1 & a\\ a & 0 & 1\end{vmatrix} =0$ $⇒1+a^3 =0 ⇒a=-1 $ |
