Question

The value of $\lambda$, such that the following system of equations has no solution, is
$2x-y-2z=2$
$x-2y+z=-4$
$x+y+\lambda z=4$

• A. $3$
• B. $1$
• C. $0$ (zero)
• D. $-3$

Answer 1

The correct option is D $-3$

$\left|\begin{array}{ccc}2& -1& -2\\ 1& -2& 1\\ 1& 1& \lambda \end{array}\right|=0\Rightarrow -3\lambda -9=0\Rightarrow \lambda =-3$