RowSolver.com
Matrix calculator, solved step by step
Free step-by-step linear algebra calculators — including our popular REF and RREF calculators, matrix multiplication, determinants, inverses, eigenvalues, and a system of equations calculator with work. Exact fractions, full LaTeX, right in your pocket.
Most-used calculators
All linear algebra calculators
Systems
Forms
Operations
Instant & client-side
Every calculation runs in your browser — no servers, no waiting, no data leaving your device.
Exact LaTeX steps
Clean fractions and Computer-Modern math typesetting for every elimination and transformation.
Thumb-first design
Horizontally scrollable tabs and big tap targets built for one-handed cramming on mobile.
Frequently asked questions
Is this matrix calculator free?
Yes. Every calculator on RowSolver is completely free, with no sign-up. All math runs in your browser, so nothing you type ever leaves your device.
Does it show the steps and the work?
Every tool shows the full step-by-step solution in clean LaTeX — including Gauss-Jordan elimination, determinant expansion, and eigenvalue derivations — so you can learn the method, not just copy an answer.
Which linear algebra calculators are included?
RowSolver covers a system of equations calculator with work, matrix multiplication, RREF and REF, determinants, matrix inverse, eigenvalues and eigenvectors, rank and null space, LU decomposition, transpose, and more.
Does it work on my phone?
Yes. RowSolver is built mobile-first with big tap targets and scrollable matrices, so you can solve and check homework one-handed on any phone.
Can the calculators handle exact fractions?
Yes. RowSolver's engine computes using exact fractions instead of rounding to decimals. This is crucial for linear algebra homework and exams where exact representations are required.
When does an inverse matrix exist?
An inverse matrix only exists for square matrices (where the number of rows equals the number of columns) that have a non-zero determinant. If your matrix is singular, our solver will clearly demonstrate why an inverse cannot be found.
What is the difference between REF and RREF?
REF (Row Echelon Form) requires the matrix to have zeros below every leading one, achieved via forward elimination. RREF (Reduced Row Echelon Form) goes further via Gauss-Jordan elimination, requiring zeros above the leading ones as well, ensuring a unique solution form.