Matrix Solver
Comprehensive linear algebra workspace. Supports RREF, Cramer's rule, LU/Cholesky decomposition, eigenvalues, matrix powers, and iterative solvers with exact step-by-step mathematical proofs.
Any rectangular Matrix A is valid.
Example: augmented matrix for a linear system
Matrix A
3 Rows
3 Cols
C1
C2
C3
R1
R2
R3
About the Matrix Solver
Solve systems of linear equations and perform step-by-step matrix operations with exact fractional arithmetic. Highly optimized for engineering coursework and board exam math preparation.
Key Features
- Gauss-Jordan and Gauss elimination step-by-step calculations
- Determinant computation using row reduction
- Matrix inversion and transpose operations
- Support for fraction entries and exact rational answers
iSupported Inputs & Parameters
- Matrix dimensions ranging from 2×2 up to 10×10
- Real numbers, decimals, or fraction inputs (e.g. 2/3)
Practical Engineering Applications
- Solving systems of linear equations in structural truss joint analysis
- Calculating coordinate transformations and stiffness matrices in structural theory
- Evaluating interpolation constants in engineering data analysis
Frequently Asked Questions
How does the solver output step-by-step operations?
The solver prints every row operation (e.g., adding multiples of one row to another, scaling rows) in exact fraction format so you can trace the Gaussian elimination process.
What is the maximum matrix size supported?
The tool supports square and augmented matrices up to 10×10.