[Math] Requirements/Conditions for Gauss Jordan elimination/Gaussian elimination

gaussian eliminationmatricesmatrix-calculus

I'm currently studying methods to solve systems of linear equations. With the Gauss Jordan elimination, I was wondering if there were any requirements or conditions required for the method to work with a system.

Best Answer

No, one of the beauty of Gauss-Jordan elimination is that you can always apply it, as long as you work over the real $\mathbb{R}$ or complex numbers $\mathbb{C}.$