Question
Mathematics Question on Matrices
The system of linear equations : x+y+z=0,2x+y−z=0,3x+2y=0 has :
A
no solution
B
a unique solution
C
an infinitely many solution
D
None of these
Answer
an infinitely many solution
Explanation
Solution
The system is homogenuous system.
∴ it has either unique solution or infinitemany solution depend on ∣A∣
∴∣A∣=1 2 31121−10
=2−3+1=0