question_answer

In order that the matrix  be non- singular, \[\lambda \] should not be equal to

A) 1                     

B) 2    

C) 3                     

D) 4

Correct Answer: D

Solution :

[d]: Matrix  be non singular only if \[\Rightarrow \]\[1(25-6\lambda )-2(20-18)+3(4\lambda -15)\ne 0\] \[\Rightarrow \]\[25-6\lambda -4+12\lambda -45\ne 0\] \[\Rightarrow \]\[6\lambda -24\Rightarrow 0\Rightarrow \lambda \ne 4\].