First slide

System of linear equations

Question

The system of equations 3x – 2y + z = 0, $λ$ x–14y + 15z = 0, x + 2y – 3z = 0 has non- zero solution then $λ$ =

Easy

A

1
B

3
C

5
D

0

Solution

$| \begin{matrix} 3 & - 2 & 1 \\ λ & - 14 & 15 \\ 1 & 2 & - 3 \end{matrix} | = 0$
$\Rightarrow 36 - 6 λ - 30 + 2 λ + 14 = 0$

$\Rightarrow λ = 5$

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