Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

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

Options:

-1

1

0

no real values

Correct Answer:

-1

Explanation:

The given system of equations will have infinitely many solutions, if

$\begin{vmatrix}1&a&0\\0&1&a\\a&0&1\end{vmatrix}=0⇒ 1+ a^3 = 0 ⇒ a=-1$