Question

If $x + y + z = 0, 4x + 3y - z = 0$ and $3x + 5y + 3z = 0$ is a system of equation, then which is true ?

• A. it is inconsistant
• B. if has only single solution $x = 0, y = 0, z = 0 $
• C. determinant of co-efficient of matrix is zero
• D. It has infinitely many solutions.

Answer 1

Answer: (B)

$x$ = 0, $y$ = 0, $z$ = 0.
$\left[\because \begin{vmatrix}1&1&1\\ 4&3&-1\\ 3&5&3\end{vmatrix}= 10 \ne 0\right]$