taiwan-gsat 2022 Q2

taiwan-gsat · Other · ast__math-a 6 marks Simultaneous equations

Let $c$ be a real number such that the system of linear equations $\left\{ \begin{array}{c} x - y + z = 0 \\ 2x + cy + 3z = 1 \\ 3x - 3y + cz = 0 \end{array} \right.$ has no solution. Select the value of $c$.
(1) $-3$
(2) $-2$
(3) $0$
(4) $2$
(5) $3$

Let $c$ be a real number such that the system of linear equations $\left\{ \begin{array}{c} x - y + z = 0 \\ 2x + cy + 3z = 1 \\ 3x - 3y + cz = 0 \end{array} \right.$ has no solution. Select the value of $c$.\\
(1) $-3$\\
(2) $-2$\\
(3) $0$\\
(4) $2$\\
(5) $3$

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