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How to Calculate a 2x2 Determinant
Formula
The determinant of a 2x2 matrix [[a,b],[c,d]] is calculated as ad - bc.
A non-zero determinant means the matrix is invertible.
Common use cases:
- Testing matrix invertibility
- Solving 2x2 systems of equations via Cramer's rule
- Area calculations using coordinate geometry
Frequently Asked Questions
Dr. David Park
Applied Mathematician, PhD Mathematics
David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.
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