Inverse Matrix Calculator
Calculate the inverse of a matrix with steps.
Input Matrix
Inverse Matrix
1
0
0
1
Determinant: 1
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About Inverse Matrix Calculator
Calculate the inverse of a matrix (2×2, 3×3, 4×4, and larger). Shows step-by-step calculation with determinant, cofactor matrix, and adjugate.
How to Use
- 1
Select matrix size
Choose the dimensions of your matrix.
- 2
Enter values
Fill in the matrix elements.
- 3
Calculate
Click Calculate to see the inverse matrix and steps.
Examples
2×2 inverse
Input:
[[1,2],[3,4]]Output:
[[-2,1],[1.5,-0.5]]Frequently Asked Questions
What matrix sizes are supported?
2×2, 3×3, 4×4, and 5×5 matrices. You can choose the size from the dropdown.
What if the matrix has no inverse?
If the determinant is 0, the matrix is singular and has no inverse. The tool will notify you.
How is the inverse calculated?
Using the formula A⁻¹ = (1/det(A)) × adj(A), where adj(A) is the adjugate (transpose of the cofactor matrix).