Matrix Determinant Solver is a verified mathematics & percentage calculation tool on Calcify. Calculate the exact determinant |A|, trace, and invertibility status of a 2×2 or 3×3 matrix. All calculations execute locally in your browser with multi-currency support, visual breakdowns, and white-label client exports.
Non-Singular (Invertible Matrix, |A| ≠ 0)
det(A) = a11(a22·a33 - a23·a32) - a12(a21·a33 - a23·a31) + a13(a21·a32 - a22·a31)
Example Inputs: Row 1 (a11, a12, a13): 2, -3, 1 · Row 2 (a21, a22, a23): 2, 0, -1 · Row 3 (a31, a32, a33): 1, 4, 5
Example Output: 3×3 Matrix Determinant |A|: 49 (Non-Singular (Invertible Matrix, |A| ≠ 0))
The Matrix Determinant Solver on Calcify applies the verified mathematical formula: det(A) = a11(a22·a33 - a23·a32) - a12(a21·a33 - a23·a31) + a13(a21·a32 - a22·a31). Every input is validated in real time with multi-currency formatting to ensure zero rounding or division errors.
Uses Laplace cofactor expansion along Row 1 for 3×3 matrices.
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