Every Linear System Has A Row-Echelon Form Theorem

Every linear system has a unique row-echelon form. Intuitively, the echelon form is the simplest form equivalent to the original system.

There is exactly one echelon form for a given linear system

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other methods

elimination algorithm

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There are many methods to get this row-echelon form.

• Elimination Algorithm
• Gaussian Elimination
• Bariess Algorithm
• Strassen’s Algorithm