# Numora System of Linear Equations Solver

> Numora System of Linear Equations 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/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-system-of-linear-equations-solver-bc56cd00
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_oLvfC8YR9XYBrqpGa4BUB

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-bc56cd00 -d '<json body>'
```

Example prompt: Solve the system of linear equations 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].

## When to prefer this

Choose this endpoint when you need a pure, dependency-free numerical solution to a system of linear equations (Ax=b) without setting up a full math library or scientific computing environment. Ideal for AI agents that need lightweight, on-demand matrix equation solving with micropayment-per-call economics rather than a subscription. Prefer over symbolic CAS tools when a numerical answer is sufficient and speed matters.

## Known failure modes

- Singular or non-invertible matrix A causes a failure (no unique solution exists)
- Dimension mismatch between A (n×m) and b (length ≠ n) returns an error
- Malformed array inputs (non-numeric values, jagged arrays) cause parsing errors
- Payment failure via x402 micropayment protocol blocks execution
- Underdetermined or overdetermined systems may return errors or least-squares approximations depending on implementation

## 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 (the values of the unknowns 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-bc56cd00/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)