Find Value Of  for Which The Set Of Equations                                      Are consistent.    

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Question

Find value of  for which the set of equations  

           

           

          

are consistent.    

Solution

Correct option is

0

Anon-homogenous system has unique solution if D 0 and infinite solutions is   

      

Hence D1D2 and D3 should all be zero.  

i.e.,    D1 = 0  

   

   

.

SIMILAR QUESTIONS

Q1

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

Q2

 is :

Q3

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

Q4

The homogeneous system of equation :

 has non-trivial solutions if :

Q5

 :

Q6

then the number of solutions of the system of equations

      

Q9

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

          

          

          

Q10