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Adjoint Matrix Calculator
Find the adjoint (adjugate), determinant and inverse of a 2×2 matrix.
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Adjoint
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Find the adjoint (adjugate), determinant and inverse of a 2×2 matrix.
Adjoint Matrix Estimator
Enter your numbers below for an instant estimate.
0
๐ก Tip: adj([[a,b],[c,d]]) = [[d,-b],[-c,a]]; inverse = adj / det.
How It Works
Key concepts behind this calculator
1
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2
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3
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4
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Quick Reference Guide
Adjoint Quick Guide
Typical values for reference.
| Matrix | Determinant | Invertible | Adjoint |
|---|---|---|---|
| [[1,2],[3,4]] | -2 | Yes | [[4,-2],[-3,1]] |
| [[4,7],[2,6]] | 10 | Yes | [[6,-7],[-2,4]] |
| [[2,0],[0,2]] | 4 | Yes | [[2,0],[0,2]] |
| [[1,2],[2,4]] | 0 | No | [[4,-2],[-2,1]] |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Adjoint Matrix Calculator FAQ
Answers to common questions about this calculator.
The transpose of the cofactor matrix.
When the determinant is not zero.
adj([[a,b],[c,d]]) = [[d,-b],[-c,a]]; inverse = adj / det.
It is an estimate based on the inputs you enter. Check real quotes, labels or official guidance for important decisions.