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Math
2×2 Eigenvalues
Characteristic polynomial
Runs locally in your browser
Parameters
Results
- λ₁
- 5
- λ₂
- 2
- Trace / det
- 7 / 10
How it works
Find eigenvalues of a 2×2 matrix from its characteristic polynomial.
Who it's for: Students in linear algebra and control theory applications.
Solves λ² − tr(A)·λ + det(A) = 0 for matrix [[a,b],[c,d]].
Returns real eigenvalues or complex conjugate pairs when the discriminant is negative.
Also shows trace and determinant for verification.
How to use
- Enter elements a, b, c, d of the 2×2 matrix.
- Read λ₁ and λ₂ — complex results appear as a ± bi.