Find Eigenvalues for 2 × 2 Matrix
Find real eigenvalues or conjugate complex pair for two-by-two matrix.
Your numbers
Real part for first eigenvalue
Use consistent units. Result follow the assumptions wey you enter.
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Formula
For di matrix [[a,b],[c,d]], use λ = (a+d±√((a−d)²+4bc))/2. Negative discriminant dey give conjugate complex eigenvalues; di result show real and imaginary parts separately.
Find real eigenvalues or conjugate complex pair for two-by-two matrix.
Example wey show the calculation
- Entry for row 1, column 1
- 2
- Entry for row 1, column 2
- 1
- Entry for row 2, column 1
- 1
- Entry for row 2, column 2
- 2
- Real part for first eigenvalue
- 3
- Imaginary part for first eigenvalue
- 0
- Real part for second eigenvalue
- 1
- Imaginary part for second eigenvalue
- 0
Where e fit work and limits
Use consistent units. Result follow the assumptions wey you enter.
We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.
Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.
Version of di formula: 9c6fa44aa0a7 · Example don get check: