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Numora Matrix System Solver
x402
Numora Matrix System Solver is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Solves a system of linear equations Ax=b given a coefficient matrix A and constants vector b
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a boolean success flag, a result object containing the solution vector x (the values of unknowns satisfying Ax=b), and a computation string describing what was solved in human-readable form.
Example use cases
Structural engineering load balancing
“I have three beams with load equations represented as the matrix A = [[4,2,0],[2,5,1],[0,1,3]] and load constants b = [10,14,7] — can you solve for the force distribution vector x?”
Solving simultaneous economic equations
“I'm modeling a simple economy with three sectors. The input-output coefficient matrix is [[0.2,0.3,0.1],[0.4,0.1,0.2],[0.1,0.2,0.3]] and the demand vector b is [100,200,150]. Can you solve the linear system for equilibrium outputs?”
Circuit analysis with Kirchhoff's laws
“I set up Kirchhoff's voltage law equations for a circuit as matrix A = [[3,-1,0],[-1,4,-1],[0,-1,2]] with voltage vector b = [12,0,6]. Solve the system to get the branch currents.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/matrix/solve-systemWhen to prefer
Choose this endpoint when you need to solve a well-defined system of linear equations Ax=b with a square, invertible coefficient matrix and no external data dependencies. Ideal for pure numerical computation tasks in engineering, physics, economics, or finance where you have explicit matrix and vector values. Prefer this over general-purpose LLM math reasoning when you need numerically precise, deterministic results rather than approximations.
Side effects
- Singular or non-invertible matrix A (no unique solution exists) — returns error or failure flag
- Mismatched dimensions between A and b — validation error
- Malformed input (non-numeric values, jagged array) — schema validation failure
- Underdetermined or overdetermined system — may return error or least-squares approximation depending on implementation
- Payment failure via x402 — 402 Payment Required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| Arequired | array | Matrix (2D array) |
| brequired | array |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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