For a homogeneous system, Cramer’s rule will always yield a trivial solution in MATLAB.(a) True(b) FalseI have been asked this question during an interview for a job.This interesting question is from Linear Systems in portion Beyond the Basics of MATLAB

For a homogeneous system, Cramer’s rule will always yield a trivial

1.	For a homogeneous system, Cramer’s rule will always yield a trivial solution in MATLAB.(a) True(b) FalseI have been asked this question during an interview for a job.This interesting question is from Linear Systems in portion Beyond the Basics of MATLAB
Answer» The correct option is (a) True To explain I would say: The PROCESS of Cramer’s rule will always YIELD a SOLUTION for the variables in a SYSTEM. But for a homogeneous system with no constant value, it will yield a 0 as a solution. HENCE all the variables will get a 0 as a solution, there-by yielding a trivial solution. This doesn’t imply that the system is inconsistent- this is why we go for comparing ranks, it will allow us to establish a more pertinent justification of the nature of the system.

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