# Numora — Linear System Solver API

> Numora — Linear System Solver API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/system
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-linear-system-solver-api-7e971961
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_2UgF7rqgpxWXSBGx1Grw6

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-linear-system-solver-api-7e971961 -d '<json body>'
```

Example prompt: Solve this system of linear equations for me: 2x + y = 5 and x - y = 1 — give me the values of x and y. The coefficient matrix A is [[2,1],[1,-1]] and b is [5,1].

## When to prefer this

Choose this endpoint when you need a quick, dependency-free numerical solution to a system of linear equations (Ax=b) and want to pay per call via x402 micropayments on Base without standing up your own math infrastructure. Ideal for AI agents that occasionally need linear algebra in financial modeling, engineering calculations, or optimization subproblems without bundling a full math library.

## Known failure modes

- Singular or non-invertible matrix A — system has no unique solution, likely returns error or failure flag
- Mismatched dimensions between A and b — request rejected with schema validation error
- Non-square matrix A provided when a unique solution is expected
- Numerical precision issues for ill-conditioned matrices — result may be inaccurate
- Payment failure via x402 micropayment — call blocked without USDC authorization on Base

## 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 field, a result object containing the solution vector (the values of each unknown that satisfy 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-linear-system-solver-api-7e971961/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)