# Numora System of Linear Equations Solver

> Numora System of Linear Equations Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Solves a system of linear equations given a coefficient matrix A and constants vector b, returning the solution vector

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/solve/system
- Price: $0.05/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-system-of-linear-equations-solver-594eaee5
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_0NSZzUWEIPvEsE1oZt2ej

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-system-of-linear-equations-solver-594eaee5 -d '<json body>'
```

Example prompt: Solve this system of linear equations for me: the coefficient matrix A is [[2,1,-1],[−3,−1,2],[−2,1,2]] and the constants vector b is [8,−11,−3].

## When to prefer this

Use this endpoint when you need a pure server-side numerical solution to a linear system (Ax=b) without installing any math libraries locally. Ideal for AI agents that need a zero-dependency, pay-per-use computation call with micropayment support. Prefer over local computation when your runtime lacks numpy/scipy, or when you want auditable, reproducible math results via an API.

## Known failure modes

- Singular or non-invertible matrix A — system has no unique solution, returns error
- Dimension mismatch between A (matrix rows) and b (vector length) — returns validation error
- A or b not provided or malformed array types — returns 400-level schema error
- Underdetermined or overdetermined system — may fail or return least-squares result depending on implementation
- Payment failure via x402 micropayment — returns 402 Payment Required before computation

## 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 success:true, a result object containing the solution vector x (values of each unknown), and a computation string describing what was solved (e.g. 'Solved 3x3 linear system Ax=b').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "A",
  "b"
 ],
 "properties": {
  "A": {
   "type": "array"
  },
  "b": {
   "type": "array"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-system-of-linear-equations-solver-594eaee5/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)