Eigenvector Calculator
Find the eigenvectors and eigenvalues of a 2x2 matrix.
Enter 2x2 Matrix
Eigenvalue 1
λ₁ = 5.0000
Eigenvector 1
v₁ = [-0.8944, -0.4472]
Eigenvalue 2
λ₂ = 2.0000
Eigenvector 2
v₂ = [-0.7071, 0.7071]
Matrix Properties
Trace
7.0000
Determinant
10.0000
Discriminant
9.0000
About Eigenvectors
An eigenvector v of a matrix A satisfies Av = λv, where λ is the corresponding eigenvalue. The eigenvector points in a direction that is only scaled (not rotated) by the matrix transformation.
Characteristic equation: det(A - λI) = 0
💡
Help us improve!
How would you rate the Eigenvector Calculator?
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
📚
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.