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A student has to find a solution for a system of equations having three variables. He has defined the coefficient matrix as C while the variable matrix as d.He observes that the system is homogeneous. So, to find the solution, he must first check(a) Consistency(b) Homogeneity(c) Heterogeneity(d) LinearityI have been asked this question during an interview for a job.This question is from Linear Systems topic in section Beyond the Basics of MATLAB

Answer»

The correct option is (a) Consistency

Explanation: If the system of equations is not consistent, the student cannot EVER get a solution for the system of EQUATION. He has to check consistency by FINDING the rank of the matrix. Thereafter he can comment on the NATURE of SOLUTIONS the system possesses.



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