🔢Matrix Determinant Calculator
The determinant of a square matrix encodes whether it's invertible (det≠0), the volume scaling of the linear transformation, and orientation change. det=0 → singular matrix.
- 12×2: det [[a,b],[c,d]] = ad − bc
- 23×3: cofactor expansion along first row
- 3det<0 → transformation reverses orientation
Matrix [[3,1],[2,4]]=det = 3×4 − 1×2 = 10Positive det = orientation preserved, scaled by 10
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Fun Fact
The determinant gets its name from its ability to 'determine' whether a system of linear equations has a unique solution.
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