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Diagonalize Matrix Calculator
Find eigenvalues and check diagonalizability of a 2×2 matrix.
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Eigenvalues
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Find eigenvalues and check diagonalizability of a 2×2 matrix.
Diagonalize Matrix Estimator
Enter your numbers below for an instant estimate.
0
π‘ Tip: lambda = (tr +/- sqrt(tr2 – 4 det)) / 2.
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
Diagonalize Quick Guide
Typical values for reference.
| a11 | a12 | a21 | Eigenvalues |
|---|---|---|---|
| 4 | 1 | 2 | 5.000 and 2.000 |
| 2 | 0 | 0 | 3.000 and 2.000 |
| 0 | 1 | -1 | Complex eigenvalues |
| 1 | 2 | 2 | 3.000 and -1.000 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Diagonalize Matrix Calculator FAQ
Answers to common questions about this calculator.
Find eigenvalues and eigenvectors, then form P and D.
When there are enough independent eigenvectors.
It may not be diagonalizable.
No, eigenvalues only.