Matrix Unit Converter
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A matrix calculator and unit converter for linear algebra, engineering, and scientific computing. Enter any 2×2, 3×3, or 4×4 matrix, apply a scale factor (unit conversion), and choose a normalization method - all reflected instantly in the transformed output matrix. Scale factor: enter any value or pick a preset (m→cm, ft→m, in→mm, kg→lb, and more). Normalization modes: None (scale only), Frobenius norm (divide by √sum-of-squares), Max absolute value (largest |element| = 1), Row L2 (each row has unit L2 norm), Column L2 (each column has unit L2 norm), and Min-Max [0,1] (rescale entire matrix to unit range). Matrix properties computed from the input: Determinant (via Gaussian elimination with partial pivoting), Trace (sum of diagonal), Rank (row reduction), Frobenius norm. Eigenvalues shown for 2×2 matrices using the exact quadratic formula - real and complex pairs both displayed. Matrix Inverse computed via Gauss-Jordan elimination; shown as N/A when the matrix is singular. Transpose. Copy any result matrix tab-separated. Reset to a preset example with one click. 100% browser-based.
How to Use
- 1Select the matrix size: 2×2, 3×3, or 4×4
- 2Enter your matrix values in the input grid (use Tab to move between cells)
- 3Set a scale factor manually or pick a unit preset (m→cm, ft→m, kg→lb, etc.)
- 4Choose a normalization mode if needed (Frobenius, Max Abs, Row/Column L2, Min-Max)
- 5The output matrix updates instantly as you type
- 6Matrix properties (determinant, trace, rank, Frobenius norm) appear below the output
- 7Click the Inverse or Transpose tab to see those derived matrices
- 8Click Reset to restore a preset example matrix
- 9Use the Copy button to copy the output matrix as tab-separated values
Features
- Supports 2×2, 3×3, and 4×4 square matrices
- Scale factor input with 8 unit-conversion presets (m→cm, ft→m, kg→lb, etc.)
- 6 normalization modes: None, Frobenius, Max Abs, Row L2, Column L2, Min-Max [0,1]
- Computes: Determinant (Gaussian elimination), Trace, Rank, Frobenius norm
- Eigenvalues (real and complex) for 2×2 matrices via exact quadratic formula
- Matrix Inverse via Gauss-Jordan elimination; shows N/A for singular matrices
- Transpose tab
- One-click copy of output matrix as tab-separated values
- Reset to preset example matrix
- 100% browser-based - no data sent to any server
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