Inverse Matrix Calculator - Calculate Matrix Inverse Online
Calculate the inverse of a square matrix with step-by-step solutions.
About Inverse Matrix Calculator
What is Matrix Inverse?
The inverse of a matrix A is a matrix A⁻¹ such that when multiplied together, they produce the identity matrix: A × A⁻¹ = I.
How to Calculate Matrix Inverse
- Check if matrix is square - Only square matrices can have inverses
- Calculate determinant - If det(A) = 0, the matrix has no inverse
- Find adjugate matrix - Transpose of the cofactor matrix
- Apply formula - A⁻¹ = (1/det(A)) × adj(A)
Applications
- Solving systems of linear equations
- Computer graphics transformations
- Engineering calculations
- Cryptography and coding theory
Use our calculator to find matrix inverses quickly with detailed step-by-step solutions.