Practicing Success
If the system of equations $x + ay = 0, az + y = 0$ and $ax+z=0$ has infinite solutions, then the value of a, is |
-1 1 0 no real values |
-1 |
The given system of equations will have infinitely many solutions, if $\begin{vmatrix}1&a&0\\0&1&a\\a&0&1\end{vmatrix}=0⇒ 1+ a^3 = 0 ⇒ a=-1$ |