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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

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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) Linearity

I 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

1 Answer

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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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