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Eigenvalue Eigenvector Calculator
Eigenvalues and an eigenvector for a 2 by 2 matrix.
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Eigenvalues
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Eigenvalues and an eigenvector for a 2 by 2 matrix.
Eigenvalue Eigenvector Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: lambda = tr/2 +/- sqrt(tr^2/4 – det).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Eigenvalue Quick Guide
Typical values for reference.
| a | b | c | Eigenvalues |
|---|---|---|---|
| 4 | 1 | 2 | 5.000 and 2.000 |
| 2 | 0 | 0 | 3.000 and 2.000 |
| 0 | 1 | -1 | 2.618 and 0.382 |
| 1 | 2 | 2 | 4.236 and -0.236 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Eigenvalue Eigenvector Calculator FAQ
Answers to common questions about this calculator.
A scalar lambda where Av equals lambda v for a non-zero vector v.
Solve the characteristic polynomial from trace and determinant.
Real matrices can have complex conjugate pairs.
Only up to scaling.