# Numora — System of Linear Equations Solver

> Numora — System of Linear Equations Solver is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/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 x such that Ax = b

## Facts

- Endpoint: POST https://numormor.netlify.app/api/solve/system
- Price: $0.1/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-3915acbb
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_zPTCPeYSRP0Mwo-E8c0Sb

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-3915acbb -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 right-hand side vector b is [8,−11,−3].

## When to prefer this

Choose this endpoint when you need pure server-side numerical solving of a linear system Ax=b with no external library dependencies, especially in agentic workflows where you want deterministic math computation paid via x402 micropayments on Base. Prefer over LLM-based math reasoning when you need exact numerical results.

## Known failure modes

- Singular or non-invertible matrix (no unique solution exists) — likely returns error or undefined result
- Mismatched dimensions between A and b — returns validation error
- Non-numeric values in A or b arrays — schema validation failure
- 402 Payment Required if x402 micropayment not included
- Overdetermined or underdetermined system may not be handled gracefully

## 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"
  },
  "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-3915acbb/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)