Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Consider the system of linear equations:

$x_1+2x_2 + x_3 = 3$

$2x_1 + 3x_2 + x_3 = 3$

$3x_1+5x_2 + 2x_3 =1$

The system has

Options:

a unique solution

no solution

infinite number of solutions

exactly three solutions

Correct Answer:

no solution

Explanation:

We have,

$D=\begin{vmatrix}1&2&1\\2&3&1\\3&5&2\end{vmatrix}=0$ and $D_1=\begin{vmatrix}3&2&1\\3&3&1\\1&5&2\end{vmatrix}≠0$

So, the given system of equations has no solution.