Linear Algebra

Online Eigenvalue Calculator

Compute eigenvalues of square matrices with step-by-step explanations.

100% Free2×2, 3×3, largerWith Steps

Matrix Configuration

Set the matrix size (square matrices only for eigenvalues)

Size:

3×3

Matrix Input

Enter matrix elements (decimals and fractions allowed)

Example Matrices

Click on any example to load it into the calculator

2×2 Basic Example

Simple 2×2 matrix with real eigenvalues

[2, 1]

[1, 3]

3×3 Example

3×3 matrix with mixed eigenvalues

[1, 2, 3]

[3, 2, 1]

[2, 1, 3]

Identity Matrix

3×3 identity matrix (eigenvalues = 1)

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Symmetric Matrix

Symmetric matrix with real eigenvalues

[4, 1, 2]

[1, 3, 0]

[2, 0, 5]