# Numora Matrix System Solver

> Numora Matrix System Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/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

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/solve-system
- Price: $0.04/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-matrix-system-solver-ad9865ca
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Rkb4QVm0RI7BwdkQfWoI-

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-matrix-system-solver-ad9865ca -d '<json body>'
```

Example prompt: Solve the system of linear equations where the coefficient matrix A is [[2,1,-1],[−3,−1,2],[−2,1,2]] and the right-hand side vector b is [8,−11,−3] — I need the exact solution vector x.

## When to prefer this

Choose this endpoint when you need a pure server-side, zero-dependency numerical solution to a square system of linear equations (Ax=b) without spinning up a local math library. Ideal for AI agents that need on-demand linear algebra computation via a simple HTTP call with x402 micropayment, especially when the system is well-determined and a unique solution is expected.

## Known failure modes

- Singular or non-invertible matrix (no unique solution exists) — returns error or failure flag
- Mismatched dimensions between A and b — validation error
- Non-numeric values in A or b — schema validation failure
- Underdetermined or overdetermined system — may return error or least-squares approximation depending on implementation
- Payment failure via x402 micropayment — 402 response before computation occurs

## 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 satisfying Ax=b, and a human-readable computation string describing what was solved.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "A",
  "b"
 ],
 "properties": {
  "A": {
   "type": "array",
   "description": "Matrix (2D 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-matrix-system-solver-ad9865ca/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)