Math & Statistics
Eigenvalue Calculator (2x2)
Find the eigenvalues of a 2x2 matrix from its characteristic polynomial.
Your inputs
Change any value to update the result instantly.
Largest eigenvalue λ₁
5
Second eigenvalue λ₂
2
Trace
7
Determinant
10
Formula and working
λ² − trace·λ + det = 0
- 1
Collect the inputs
A row1 col1 = 4; A row1 col2 = 1; A row2 col1 = 2; A row2 col2 = 3
- 2
Apply the formula
λ² − trace·λ + det = 0
- 3
Result
Largest eigenvalue λ₁ = 5
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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