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## Homework Statement

What is the reduced echelon form of a n x n nonsingular matrix? Briefly explain.

## Homework Equations

## 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.

For example:

A 2x2 matrix in echelon form will appear as

1 0

0 1

A 3x3 matrix in echelon form will appear as

100

010

001

etc.

Is there a specific (more elegant) way that this behavior would be described?

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