Determinant Calculator
2×2 and 3×3 matrix determinants.
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Results
- Determinant
- 10
- Invertible?
- Yes
- Matrix size
- 2×2
- Area/volume scale factor
- 10
Quick answer
The determinant measures how a matrix scales area or volume; a determinant of zero means the matrix is singular.
det[[a,b],[c,d]] = ad − bc
How to use the Determinant Calculator
- 1Choose the matrix size.
- 2Enter values row by row, separated by commas.
- 3A zero determinant means no inverse exists.
Frequently asked questions
What does a negative determinant mean?
The transformation flips orientation as well as scaling.
Why does zero matter?
The matrix collapses space to a lower dimension, so it cannot be inverted.