Linear Algebra
2×2 Eigenvalues
Eigenvalues of a 2×2 matrix.
Formula
Formula
λ = tr ± √tr2−4det2
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| A | 2×2 matrix | real matrix | — | input |
| λ | eigenvalues | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenA = 2, 1; 1, 2
Result
λ1
3
λ2
1
Example 2
GivenA = 4, 1; 2, 3
Result
λ1
5
λ2
2