Math & Numerical Methods
Linear Algebra & Matrices Simulators
A focused Math & Numerical Methods hub for linear algebra & matrices tools, keeping related formulas, assumptions, and engineering checks together.
18 simulators
Adjacent categories
Simulator list
Cholesky Decomposition Simulator
Linear Algebra & Matrices
Factor a symmetric 3×3 matrix into the product of a lower-triangular matrix and its transpose, A=LLᵀ.
Matrix Condition Number Simulator
Linear Algebra & Matrices
Compute the condition number κ(A) of a 2×2 matrix and visualize its ill-conditioning.
Conjugate Gradient Method Simulator — CG vs Steepest Descent
Linear Algebra & Matrices
The conjugate gradient simulator iteratively solves Ax=b for a symmetric positive definite matrix and compares the residual history with steepest descent in real time.
Gauss-Seidel Simulator — Iterative Solution of Linear Systems
Linear Algebra & Matrices
Gauss-Seidel iteration simulator for Ax=b. Sweep SOR omega from 0.5 to 1.9 to visualize convergence trajectories and log10 residual decay in real time.
Gershgorin Circle Theorem Simulator
Linear Algebra & Matrices
The Gershgorin circle theorem lets you bound where the eigenvalues of a matrix must be from its entries alone, without ever computing them. Move the diagonal and off-dia…
Jacobi Eigenvalue Method Simulator
Linear Algebra & Matrices
Find the eigenvalues of a symmetric 3×3 matrix with the Jacobi method — a sequence of plane rotations.
Jacobi Iteration Simulator — Linear Systems
Linear Algebra & Matrices
Solve a 2x2 linear system A·x=b by the Jacobi iterative method.
Linear Algebra Matrix Transformation Visualizer
Linear Algebra & Matrices
Visualize 2D matrix transformations in real time. Control a 2x2 matrix, animate rotations, scaling, shear, and see eigenvectors and eigenvalues.
LU Decomposition Simulator — Direct Solver for Ax=b
Linear Algebra & Matrices
The LU decomposition simulator factors a 3x3 matrix into L and U and solves Ax=b with forward and back substitution in real time, with partial pivoting.
Matrix Operations & Eigenvalue Calculator
Linear Algebra & Matrices
Compute matrix operations instantly: addition, multiplication, determinant, inverse, eigenvalues, eigenvectors, and solve linear systems. .
Matrix Transformation Visualizer — Geometric Meaning of Linear Algebra
Linear Algebra & Matrices
Visualize 2x2 matrix transformations with animation. See the grid, basis vectors, and shapes change while computing determinant and eigenvalues.
Multigrid Simulator — V-cycle for 1D Poisson
Linear Algebra & Matrices
Solve the 1D Poisson equation with a V-cycle multigrid method and watch the residual fall by orders of magnitude faster than Gauss-Seidel alone.
Power Iteration Simulator — Dominant Eigenvalue by Iteration
Linear Algebra & Matrices
The power iteration simulator estimates the dominant eigenvalue and eigenvector of a 3x3 symmetric matrix by iterating v ← Av/||Av|| and reading the Rayleigh quotient.
QR Decomposition Simulator — Gram-Schmidt & Least Squares
Linear Algebra & Matrices
Factor a 3x3 matrix A into an orthogonal Q and upper-triangular R using Modified Gram-Schmidt, then solve the least-squares system Rx=Qt b by back substitution.
Successive Over-Relaxation (SOR) Simulator
Linear Algebra & Matrices
Solve the 1D Laplace equation with an iterative solver. Change the relaxation factor omega to see how much faster convergence becomes when the Gauss-Seidel update is amp…
Thomas Algorithm (Tridiagonal Solver) Simulator
Linear Algebra & Matrices
Experience the Thomas algorithm (TDMA) solving a tridiagonal linear system in O(n). It discretises and solves the 1D Poisson boundary-value problem −u''=f, and lets you …
2D Vector Addition Simulator
Linear Algebra & Matrices
Add up to five vectors and calculate the resultant in real time. Intuitively learn vector composition from three perspectives: origin display, tip-to-tail method, and co…
2D Vector Field Visualizer
Linear Algebra & Matrices
Visualize 2D vector fields with arrows and streamlines. Explore field properties like vortex, source, and rotation interactively.