Determinant Calculator
2×2 Determinant
3×3 Determinant
Formula
det(2×2) = ad - bc, det(3×3) = a₁₁(a₂₂a₃₃ - a₂₃a₃₂) - a₁₂(a₂₁a₃₃ - a₂₃a₃₁) + a₁₃(a₂₁a₃₂ - a₂₂a₃₁)
Frequently Asked Questions
What does the determinant tell you?
The determinant of a matrix is a scalar that encodes several properties. A non-zero determinant means the matrix is invertible. For a 2D matrix, |det| gives the area scaling factor of the linear transformation; for 3D, it gives the volume scaling factor. A negative determinant indicates an orientation reversal.
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