Row Echelon Form Calculator
Transform matrices to row echelon form with step-by-step solutions. Learn Gaussian elimination through interactive examples.
Row Echelon Form Calculator
Convert matrices to row echelon form with step-by-step solutions
Matrix Input
Matrix Size
Rows:
3
Columns:
3
Matrix Values
Matrix Operations Reference
Operation | Description | Example |
---|---|---|
Row Swap | Swap two rows | R₁ ↔ R₂ |
Row Scaling | Multiply row by non-zero scalar | 2R₁ → R₁ |
Row Addition | Add multiple of one row to another | R₂ + 3R₁ → R₂ |
Results
Your row echelon form results will appear here
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Simple steps to transform matrices to row echelon form!
Enter Your Matrix
Input your matrix values and adjust the size as needed.
Calculate REF
Our tool applies Gaussian elimination to convert your matrix to row echelon form.
View Step-by-Step
See each operation performed to reach the final form.
Key Features
What makes our Row Echelon Form Calculator special!
Adjustable Matrix Size
Supports matrices from 2×2 up to 5×5.
Detailed Steps
Shows every row operation with clear explanations.
Educational Reference
Includes matrix operation examples and definitions.
Who Can Benefit
Our calculator helps various users:
Linear Algebra Students
Learn and verify row echelon form transformations.
Math Teachers
Create examples and demonstrate Gaussian elimination.
Engineers & Scientists
Quickly reduce matrices for solving systems of equations.
Researchers
Verify manual calculations and check intermediate steps.
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Try NowUser Reviews
Rated Excellent 4.98/5 on There's An AI For That (TAAFT) - The #1 AI Aggregator
- Jun 17, 2025
Perfect for Linear Algebra!
This helped me understand row operations for my linear algebra class.
Emily R.Verified Review - Jun 15, 2025
Teacher Approved
I use this with all my linear algebra students to demonstrate Gaussian elimination.
Prof. JohnsonVerified Review - Jun 13, 2025
Saved Me Hours
As an engineering student, this tool helps me verify my matrix calculations quickly.
Daniel T.Verified Review - Jun 11, 2025
Step-by-Step Learning
The detailed steps helped me understand where I was going wrong in my manual calculations.
Sophia L.Verified Review
Frequently Asked Questions
Is this calculator free to use?
Yes, our Row Echelon Form Calculator is completely free to use with no limitations.
What's the maximum matrix size supported?
The calculator supports matrices up to 5×5 for optimal performance and readability.
Can I see intermediate steps?
Yes, the calculator shows every row operation with clear explanations of each step.
Does it handle decimal numbers?
Yes, you can input decimal numbers and the calculator will handle them appropriately.
Is this suitable for learning linear algebra?
Absolutely! The step-by-step approach makes it an excellent learning tool for Gaussian elimination.
Can I use this on mobile?
Yes, the calculator is fully responsive and works well on mobile devices.
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