Mark the correct alternative in the following:
Consider the system of equations:
a1x + b1y + c1z = 0
a2x + b2y + c2z = 0
a3x + b3y + c3z = 0
If then the system has
The given system of linear equations is :-
a1x + b1y + c1z = 0
a2x + b2y + c2z = 0
a3x + b3y + c3z = 0
The matrix equation corresponding to the above system is :-
According to the question,
= 0
This matrix is a singular matrix. So, the system has infinitely many solutions including the trivial solution.