# Numora Matrix LU Decomposition

> Numora Matrix LU Decomposition 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).

Computes the LU decomposition (lower-upper factorization) of a given matrix, returning L and U factors for use in solving linear systems and numerical analysis.

## Facts

- Endpoint: POST https://numormor.netlify.app/api/matrix/lu
- 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-lu-decomposition-d9cae9dd
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_mtMTkhMv3fswr4lGnY0gH

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-lu-decomposition-d9cae9dd -d '<json body>'
```

Example prompt: Can you do an LU decomposition on this matrix: [[2, 1, -1], [-3, -1, 2], [-2, 1, 2]]? I need the lower and upper triangular factors.

## When to prefer this

Use this endpoint when you need a pure math, zero-dependency LU factorization of a matrix — especially when you want to avoid spinning up a full numerical library (numpy, scipy), need a simple JSON API result, or are working in an agent context where micropayment (x402) API access is preferred over subscription keys.

## Known failure modes

- Non-square or singular matrix may cause decomposition failure or return an error result
- Malformed or non-numeric matrix input returns a validation error
- Missing required 'A' field returns a 400-style error
- Payment not processed (x402 micropayment failure) blocks the request

## 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 L (lower triangular) and U (upper triangular) matrices (and possibly a pivot/permutation array), and a 'computation' string describing what was computed.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "A"
 ],
 "properties": {
  "A": {
   "type": "array",
   "description": "Matrix (2D 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-lu-decomposition-d9cae9dd/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)