Determinant Calculator
Determinant calculator
Compute determinant for square matrices from 2x2 up to 8x8 and detect singular matrices.
2×2 to 8×8. Cells follow aᵢⱼ (row i, column j).
Quick fill
Matrix A (3 × 3)
9 editable cells
Row editor
Swipe horizontally when the selected row has many columns.
det(A)
9
Determinant is non-zero for this 3x3 matrix, so the matrix is non-singular (invertible).
3 × 3
matrix
Order
3 x 3
Entries
9
Status
Invertible
Flow
- Select matrix order from 2x2 up to 8x8.
- Enter matrix coefficients directly in the visual row/column grid.
- Review determinant value and whether the matrix is singular.
Example
Worked example: [[4,7],[3,6]]
- 1 det(A) = 4×6 - 7×3
- 2 det(A) = 24 - 21
- 3 det(A) = 3 (non-singular)
Determinant is 3 and matrix is invertible.
How
- Select matrix order from 2x2 up to 8x8.
- Enter matrix coefficients directly in the visual row/column grid.
- Review determinant value and whether the matrix is singular.
Avoid
- Swapping row/column positions while entering coefficients.
- Using determinant sign pattern incorrectly in cofactor expansion.
- Assuming near-zero determinants are exactly zero without tolerance awareness.
Checks
Best fit
Determinant Calculator is built for calculate determinants for 2x2 to 8x8 matrices and detect singular matrices. If Determinant Calculator does not match the input scope, compare the answer with a second method.
Input check
Match the entered values to this rule before copying the answer: For 2x2: det(A)=a11a22-a12a21; for higher-order matrices this tool uses elimination to evaluate det(A) stably..
Sanity check
For Determinant Calculator, use the worked example as a quick benchmark: Determinant is 3 and matrix is invertible. If the determinant calculator answer is far away, check whether an input, unit, or mode changed.
Before copying
Review this common issue first: swapping row/column positions while entering coefficients.
FAQ
What does determinant zero imply?
A zero determinant indicates singular matrix and no inverse.
What matrix sizes are supported?
This tool supports square matrices from 2x2 through 8x8.
Can determinant be negative?
Yes. Sign depends on matrix orientation and values.
Switch
Switch12
No match.