I was testing a program that solves system of linear equations. The program allows the user to enter the coefficients of each equation. When I entered the complex number $i$ as on of the coefficients, the system produced a warning indicating that the implemented algorithm does not work with complex numbers.
Aside from programming specifics, my question is:
Do methods of solving linear equations such as Row Reduction, Cramer's Rules and Multiplication by matrix inverse restricted to real numbers only? Thank you all kindly.