.

has a non-zero solution, then value of  

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

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

 is :

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

The homogeneous system of equation :

 has non-trivial solutions if :

 :

then the number of solutions of the system of equations

      : 

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