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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 – \lambdaz = 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 

 
Answers (1)
116 Views
G gaurav

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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