Calculate eigenvectors and their multiplicities for square matrices with our free Eigenvector Calculator. Supports 2×2 to 5×5 matrices.
Result
Input Matrix
Eigenvectors
Multiplicity
Eigenvalues
Solution
Eigenvalues
Multiplicity
Eigenvectors
Eigenvector Calculator – Find Eigenvectors & Eigenvalues Instantly
Whether you’re a student solving linear algebra problems or an engineer working on real-world data analysis, our Eigenvector Calculator makes it simple to calculate eigenvalues and eigenvectors of any square matrix in just a few clicks.
What is an Eigenvector Calculator?
The Eigenvector Calculator is an advanced matrix tool that finds:
- Eigenvalues (λ) – solutions to the equation
|A - λI| = 0 - Eigenvectors (v) – vectors that satisfy the equation
Av = λv
These calculations are essential in linear transformations, PCA (Principal Component Analysis), control systems, and vibration analysis.
How to Use the Eigenvector Calculator
- Select your matrix size – 2×2, 3×3, 4×4, or larger
- Enter matrix values – supports decimals, negatives, and fractions
- Click on “Calculate”
- Instantly get:
- All eigenvalues of the matrix
- Corresponding eigenvectors for each eigenvalue
🎯 No formulas or matrix algebra needed — just accurate results in one click.
Why Use This Tool?
| Feature | Benefit |
|---|---|
| 🧠 Eigenvalues & Vectors | Computes both values and direction vectors |
| 🔢 Supports Real Matrices | Handles most common algebra problems |
| 📱 Clean & Responsive | Works on any screen—phone, tablet, or desktop |
| 🎓 Ideal for Education | Useful for learning linear algebra and transformations |
| 🆓 100% Free & Unlimited | Use it anytime, without sign-up or ads |
Who Should Use It?
- 🎓 Students learning eigen concepts in linear algebra
- 👩🏫 Teachers explaining matrix transformations
- 📊 Data analysts performing PCA and covariance analysis
- 🛠️ Engineers dealing with system modeling, robotics, or signal processing
- 👨💻 Developers in machine learning, 3D graphics, or simulations
FAQs
What are eigenvalues and eigenvectors?
Eigenvalues are scalars (λ) and eigenvectors are non-zero vectors (v) such that Av = λv.
Can this tool handle decimals and fractions?
Yes. It supports all real number inputs, including fractions, decimals, and negatives.
Will it show multiple eigenvectors?
Yes, you’ll get all eigenvectors corresponding to each eigenvalue.
Is this tool really free to use?
100% free. No limits. No sign-up. No ads.