Mark the correct alternative in the following:
The existence of the unique solution of the system of equations:
x + y + z = λ
5x – y + μz = 10
2x + 3y – z = 6 depends on
The given system of linear equation :-
x + y + z = λ
5x – y + μz = 10
2x + 3y – z = 6
The matrix equation corresponding to the above system is :-
Let A = 
|A| = 
= 1(1-3
-1(-5-2
) +1(15+2)
= 1-3
+5 +2
+17 = 23-
For the existence of the unique solution, the value of |A| must be equal to 0.
Hence the existence of the unique solution merely depends on the value of 
1