I am studying about Larange Multiplier on MIT OCW and I stumbled through an algebra step that I'm not quite sure about.
These are the pics from the lecture.
Please help me explain how he translates the system of equations into matrices form and then determine the solution. Plus, why is the determinant of matrix M in this case equals to C would give the solution?
What should I take in order to understand these concept more in depth? (I'm guessing linear algebra but I'm not too sure).
Thank you very much!