Understand the subject
What is an adjugate?
The adjugate is the transpose of the cofactor matrix.
Use it in the exact inverse relationship for a nonsingular square matrix.
See the structure
What the calculation is doing
1234
same positions5678
adj(A)=CᵀWorked interpretation
Read the result in context
adj(A)=Cᵀ
Interpret with care
Important boundary
Adjugate is not the same thing as a conjugate transpose or a numerical inverse.
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
adj(A) = Cᵀ
Undefined, singular, dimensionally incompatible, dependent, or unsupported inputs receive an explicit message instead of a fabricated numeric result.
Worked example
Example interpretation
For [[a,b],[c,d]], adj(A) = [[d,−b],[−c,a]].
adj(A) = Cᵀ
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.
