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Sindri Linear Equation Solver
x402
Sindri Linear Equation Solver is a paid API for AI agents from x402.outpimp.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-09-15).
Solves a system of linear equations (Ax = b) using LU decomposition for square coefficient matrices up to 20x20, with near-singularity detection.
Price / call$0.01
Success—
StatusUnknown
How this service works
Solves a system of linear equations (Ax = b) using the ml-matrix library's LU decomposition (LuDecomposition), with a near-singularity guard beyond the library's exact-singular check, for systems up to 20x20.
Output
Returns the solution vector x (an array of n values) that satisfies Ax = b, where A is the input coefficient matrix and b is the constants vector. If the system is singular or near-singular, returns an error indicating the matrix cannot be solved.
Example use cases
Structural engineering load calculation
“I have a 3-equation structural load system. The coefficients are [[4,2,0],[2,3,1],[0,1,2]] and the right-hand side values are [10,14,8]. Can you solve for the unknown forces?”
Economics supply-demand equilibrium
“Solve this 4-variable economic equilibrium system for me — coefficients are [[1,-1,0,0],[0,1,-1,0],[0,0,1,-1],[1,0,0,1]] and the constants vector is [5,3,2,10].”
Circuit analysis with Kirchhoff's laws
“I've set up Kirchhoff's voltage law equations for my circuit as a 3x3 matrix [[10,-3,-2],[-3,8,-1],[-2,-1,6]] with constants [20,15,10] — can you find the unknown currents?”
Technical details
Endpoint
POSThttps://x402.outpimp.com/solveLinearEquationWhen to prefer
Choose this endpoint when you need a fast, cheap ($0.01 USDC), server-side numerical solution to a dense square linear system up to 20×20. Ideal when you don't want to run a local numerical library, need LU decomposition specifically, or are building an agent that solves equations as part of a larger workflow. Not suitable for sparse systems, overdetermined/underdetermined systems, or systems larger than 20×20.
Side effects
- Singular or near-singular matrix detected — system has no unique solution
- Matrix dimensions mismatch — coefficients array is not square or constants length doesn't match n
- Matrix exceeds 20x20 limit — request rejected
- Malformed input arrays — non-numeric values or missing fields cause 400 error
- Payment failure — x402 payment not processed, endpoint returns 402
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| constants | array | Array of n constants (the right-hand side of each equation). |
| coefficients | array | Square 2D array of coefficients (n x n), up to 20x20. |
Tags
x402
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