# Numora — Matrix System Solver

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

Solves a system of linear equations Ax=b given a coefficient matrix A and constant vector b

## Facts

- Endpoint: POST https://numomo.vercel.app/api/matrix/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-matrix-system-solver-7d136fdf
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Ga2Yn4pwCNMNs-U-PeqPQ

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-7d136fdf -d '<json body>'
```

Example prompt: Solve the system of linear equations where A is [[2,1],[-1,3]] and b is [5,10] — give me the solution vector x.

## When to prefer this

Use this endpoint when you need to solve a well-determined system of linear equations (n equations, n unknowns) numerically, with no external dependencies or third-party library calls. Ideal for AI agents that need fast, reliable algebraic solutions within a workflow — especially when the matrix is dense and small-to-medium sized. Prefer this over symbolic math APIs when a numeric answer suffices and speed matters.

## Known failure modes

- Singular or non-invertible matrix A returns an error (no unique solution exists)
- Dimension mismatch between A and b (rows of A must equal length of b)
- Non-square matrix A (underdetermined or overdetermined systems may not be supported)
- Malformed input (non-numeric values in A or b)
- Payment failure via x402 micropayment protocol

## 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 x such that Ax=b, and a 'computation' string with a human-readable description of 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-7d136fdf/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)