First slide

System of linear equations

Question

The system of equations $x + y + z = 6, x + 2 y + λ z = 0, x + 2 y + 3 z = 10$ has no solution then $λ =$

Easy

A

2
B

3
C

4
D

5

Solution

$| \begin{matrix} 1 & 1 & 1 \\ 1 & 2 & λ \\ 1 & 2 & 3 \end{matrix} | = 0$
$\Rightarrow (6 - 2 λ) - 1 (3 - λ) + (2 - 2) = 0$

$\Rightarrow λ = 3$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App