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Linear Algebra Matrix Inverse
x402
Linear Algebra Matrix Inverse is a paid API for AI agents from linear-algebra.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Computes the inverse of a square matrix (up to 10x10) using Gauss-Jordan elimination, returning the inverse matrix, A*inv(A) residual, and condition number.
Price / call$0.02
Success—
StatusUnknown
How this service works
Inverse of a square matrix (up to 10x10) by Gauss-Jordan, with A*inv(A) residual and a condition number.
Output
Returns the inverse matrix as a 2D array of floats, a boolean singular flag (true if matrix is not invertible), an ill-conditioned flag, the 1-norm condition number, the maximum absolute entry of A*inv(A)-I (residual check), an estimated number of decimal digits lost to cancellation, and a human-readable summary string.
Example use cases
Checking matrix invertibility before solving
“I have a 3x3 matrix [[2,1,0],[1,3,1],[0,1,2]] — can you compute its inverse using Gauss-Jordan and let me know if it's singular or ill-conditioned?”
Validating numerical stability of a large matrix
“Invert this 5x5 matrix for me: [[6,1,1,3,2],[4,5,2,1,3],[2,1,8,4,1],[3,2,1,7,3],[1,3,2,2,9]] and tell me the condition number and residual so I know if the result is numerically reliable.”
Solving for transformation matrix inverse in graphics
“I need the inverse of the rotation-scale matrix [[0.866,-0.5,0],[0.5,0.866,0],[0,0,1]] — can you compute it and check how many digits of precision are lost?”
Technical details
Endpoint
GEThttps://linear-algebra.x402tookit.com/inverse?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need the explicit inverse of a square matrix (up to 10x10), especially when numerical stability diagnostics (condition number, residual, digits-lost estimate) are important. If you just need to solve Ax=b, prefer the Ax=b solver endpoint instead — computing an explicit inverse for solving linear systems is numerically inferior. Choose this endpoint when you genuinely need the inverse matrix itself, e.g. for repeated solves, transformations, or analytical purposes.
Side effects
- Singular matrix: inverse does not exist, singular flag set to true and inverse is null
- Ill-conditioned matrix: inverse computed but ill-conditioned flag set true with high digitsLostEstimate warning
- Matrix larger than 10x10: rejected, maximum supported size is 10x10
- Malformed matrix input: non-square matrix or invalid JSON format returns an error
- Non-numeric entries in matrix: parsing failure returns error response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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