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Generic linear algebra echelon form question

  • Thread starter dmitriylm
  • Start date
  • #1
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2

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?
 
Last edited:

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
14
Those all look like an n-dimensional identity matrix to me.
 

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