Q

# How to solve this problem- - Matrices and Determinants - JEE Main-5

If the system of equations 2x + 5y + 8z = 0, x + 4y + 7z = 0, 6x + 9y – $\lambda$z = 0 has a non-trivial solution, then $\lambda$ is equal to

• Option 1)

12

• Option 2)

-12

• Option 3)

0

• Option 4)

None of these

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Here      $\begin{vmatrix} 2 & 5&8 \\ 1& 4& 7\\ 6&9 & -\lambda \end{vmatrix}=0$

$\Rightarrow$$\lambda$ = -12.

Option 1)

12

Option 2)

-12

Option 3)

0

Option 4)

None of these

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