Question

The system of linear equation $x + y + z = 2$, $2x + y - z = 3,3x + 2y + kz = 4$has unique solution if

• A. $K \neq 0$
• B. $- 1 < K < 1$
• C. $- 2 < K < 2$
• D. $K = 0$

Answer 1

Answer: (A)

$K \neq 0$

Answer 2

The given system of equation has a unique solution if

1 & 1 & 1 \\ 2 & 1 & - 1 \\ 3 & 2 & k \end{matrix} \right| \neq 0 \Rightarrow K \neq 0$$