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Both calculators run independently — change the inputs on either side to compare results.
Linear Algebra
3x3 Matrix Trace Calculator
Compute the trace of a 3×3 matrix as the sum of its diagonal entries: a11 + a22 + a33. The trace equals the sum of eigenvalues and is invariant under similarity transformations.
Fill in the required fields to see your result.
Linear Algebra
2x2 Matrix Determinant Calculator
Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.
Fill in the required fields to see your result.
Key differences
| 3x3 Matrix Trace Calculator | 2x2 Matrix Determinant Calculator | |
|---|---|---|
| Category | Linear Algebra | Linear Algebra |
| Inputs required | 3 | 4 |
| Result | Matrix Trace | Determinant |
| What it does | Compute the trace of a 3×3 matrix as the sum of its diagonal entries: a11 + a22 + a33. The trace equals the sum of eigenvalues and is invariant under similarity transformations. | Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents. |