Question

For what value of k do the following homogeneous system of equations possess a non-trivial solution ? 

          

          

          

Solution

Correct option is

For non-trivial solutions,    D = 0  

  

:      

                   

Evaluating by 1st column, we get,  

.

SIMILAR QUESTIONS

Q1

If a determinate of  is formed by using the number 1 or –1 then minimum value of determinant is :

Q2

A and B are square matrices and A is non-singular matrix,  : 

Q3

 is :

Q4

The value of  such that the system x – 2y + z = –4, 2x – y + 2z = 2,  has no solution is : 

Q5

The homogeneous system of equation :

 has non-trivial solutions if :

Q6

 :

Q7

then the number of solutions of the system of equations

      

Q10

Find value of  for which the set of equations  

           

           

          

are consistent.