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.

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