# Numora Matrix System Solver

> 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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/matrix/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-matrix-system-solver-3f08cb23
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_V4n99EUXpoG0phs5i3OMH

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-3f08cb23 -d '<json body>'
```

Example prompt: Solve the linear system 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 solution vector x.

## When to prefer this

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.

## Known failure modes

- 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

## 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.

## 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-3f08cb23/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)