Eigenvalue Calculator

Calculate eigenvalues and eigenvectors of any square matrix instantly with detailed step-by-step results.

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About This Tool

This advanced eigenvalue calculator computes all eigenvalues and eigenvectors for any square matrix up to 6x6. Enter your matrix values manually or use the random generator, then get instant results including eigenvalues, eigenvectors, determinant, trace, and characteristic polynomial. The tool performs full validation to ensure your matrix is square and contains valid numerical values. Perfect for students, engineers, and researchers working with linear algebra.

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How to Use

Enter matrix size (2-
or use the preset buttons
Fill in matrix values (decimal or integer)
Click 'Calculate Eigenvalues' button
View eigenvalues, eigenvectors, and matrix properties
Use 'Random Matrix' to test with example data
Click 'Clear' to reset all inputs

Frequently Asked Questions

Find Quick Answers

What is an eigenvalue?

An eigenvalue is a scalar that, when multiplied by a vector (eigenvector), yields the same result as multiplying the matrix by that vector. They're fundamental in linear transformations.

What matrix sizes are supported?

The calculator supports square matrices from 2x2 up to 6x6. Larger matrices require more computational resources but the mathematical principles are the same.

Can I use decimal or complex numbers?

Yes, you can enter decimal values (like 1.5 or -0.25). Complex eigenvalues are automatically calculated and displayed when they exist.

How accurate are the results?

Results are calculated using double-precision floating point arithmetic with precision up to 10 decimal places. For ill-conditioned matrices, results may have numerical rounding errors.

Need to run multiple calculations?

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