What is the reduced echelon form of a n x n nonsingular matrix? Briefly explain.
The Attempt at a Solution
I know that a n x n nonsingular matrix will always result in echelon form will always have a diagonal orientation with a single digit in its own row.
A 2x2 matrix in echelon form will appear as
A 3x3 matrix in echelon form will appear as
Is there a specific (more elegant) way that this behavior would be described?