# Numora Matrix System Solver

> Numora Matrix System 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 Ax=b given a coefficient matrix A and constants vector b

## Facts

- Endpoint: POST https://numormor.netlify.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-00c3450f
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_4Zg4XL7tu71klFKzbiJcq

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-00c3450f -d '<json body>'
```

Example prompt: Solve this system of linear equations for me: the matrix A is [[2,1,-1],[−3,−1,2],[−2,1,2]] and the constants vector b is [8,−11,−3] — give me the solution vector x.

## When to prefer this

Use this endpoint when you need to numerically solve a system of linear equations in the form Ax=b without any external dependencies or heavy computation libraries. Ideal for AI agents needing lightweight, pay-per-call math computation for engineering, physics, finance, or data science problems involving simultaneous equations.

## Known failure modes

- Singular or non-invertible matrix — system has no unique solution, returns error
- Mismatched dimensions between A and b — returns validation error
- Malformed 2D array input for A — returns schema error
- Underdetermined or overdetermined system — may return error or least-squares approximation
- Payment failure via x402 — returns 402 status before computation

## 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 description string explaining what was computed.

## 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-00c3450f/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)
