Our Vision
Linear algebra is a core component of modern technology, underlying everything from machine learning models to computer graphics. Yet, many students struggle with the manual calculations involved in row reduction, determinants, and eigenvectors. We believe that learning is most effective when students can verify their work at every step, rather than just checking their final answer against a key.
We designed this site to show every single elementary row operation clearly, using exact fractions rather than decimals, to make the learning process as transparent as possible.
How We Build Our Solvers
Most online calculators use standard JavaScript floating-point numbers, which can lead to rounding errors. For example, a value that should be exactly 0 might be computed as 1.12e-16. This small error can cause an algorithm to mistakenly identify a pivot in the wrong column, leading to completely incorrect RREF outputs.
To solve this, we wrote a custom **Fraction class** from scratch. Every number in our matrix engine is stored as an exact ratio of two integers (a numerator and a denominator) and simplified using the Greatest Common Divisor (GCD) algorithm after every single calculation. This ensures absolute accuracy and enables us to print clean mathematical fractions rather than long, confusing decimals.
Who is Behind the Site?
Our team consists of linear algebra tutors, computer science graduates, and frontend engineers. All of our mathematical engines are peer-reviewed for accuracy and aligned with standard university textbook definitions, including Gilbert Strang's Linear Algebra and Its Applications.
If you have feedback, feature requests, or have spotted a bug in our calculation steps, please reach out to us via our Contact Us page.