Understand the subject
What are minors and cofactors?
A minor deletes one row and column; a cofactor adds its checkerboard sign.
Use them to inspect determinant structure or build an adjugate.
See the structure
What the calculation is doing
1234
same positions5678
Cᵢⱼ=(−1)ⁱ⁺ʲMᵢⱼWorked interpretation
Read the result in context
Cᵢⱼ=(−1)ⁱ⁺ʲMᵢⱼ
Interpret with care
Important boundary
A minor’s position determines which row and column are removed.
Use the Matrix Calculator to experiment with small exact matrix operations before applying a more specialized route.
Quick guide
How to use this calculator
- Set the matrix dimensions required by the task.
- Fill every visible entry and any operation-specific control.
- Read the result type, factors, classification, and disclosed limitations.
Calculation method
Apply the stated linear-algebra contract
Mᵢⱼ = det(A without row i and column j); Cᵢⱼ = (−1)ⁱ⁺ʲMᵢⱼ
Undefined, singular, dimensionally incompatible, dependent, or unsupported inputs receive an explicit message instead of a fabricated numeric result.
Worked example
Example interpretation
A 2 × 2 input produces four 1 × 1 minors and four signed cofactors.
Mᵢⱼ = det(A without row i and column j); Cᵢⱼ = (−1)ⁱ⁺ʲMᵢⱼ
Supported inputs
Precision and limits
Matrix size
Input matrices are limited to 1–6 rows and columns; operation-specific square, rank, or compatibility rules still apply.
Entry precision
Enter signed finite decimals with at most 30 digits and 15 decimal places.
Exactness
Finite decimals become reduced rational numbers and intermediate structural calculations are not rounded.
