If the system of equations, $x+a y=0, a z+y=0, a x+z=0$ has infinite number of solutions, then the v

Question

If the system of equations, $x+a y=0, a z+y=0, a x+z=0$ has infinite number of solutions, then the value of $a$ is

Professor PC Thomas Classes · Answer

Determinant of coefficient matrix must be zero.