Question

To apply Cramer’s rule, the condition is _________

(a) Non-homogeneous system of equations

(b) Homogeneous system of equations

(c) Determinant of co-efficient matrix is not equal to 0

(d) No condition

This question was addressed to me during an online interview.

My enquiry is from Linear Systems in portion Beyond the Basics of MATLAB

Answer 1

Right option is (c) Determinant of co-efficient matrix is not equal to 0

To explain I would say: If the determinant of co-efficient matrix is 0, all the solutions will come to be Infinite. Thus, this is the condition to check before going for Cramer’s rule to check the solution of any system of equations.