# Numora Matrix SVD Decomposition

> Numora Matrix SVD Decomposition is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-14).

Computes the Singular Value Decomposition (SVD) of a given matrix, returning U, Sigma, and V components

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/svd
- Price: $0.04/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-svd-decomposition-17049cf4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_L-Sc8FF7oNsifyHdCKlQ7

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-svd-decomposition-17049cf4 -d '<json body>'
```

Example prompt: Can you compute the singular value decomposition of this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? I need the U, Sigma, and V components.

## When to prefer this

Use this endpoint when you need pure mathematical SVD computation with no external dependencies, especially when operating in an AI agent context with x402 micropayment support on Base. Prefer this over general-purpose math libraries when you need a lightweight, pay-per-call cloud API for linear algebra without setting up infrastructure.

## Known failure modes

- Non-2D array input returns validation error
- Empty matrix returns error
- Non-numeric matrix entries cause computation failure
- Malformed JSON body returns 400
- Payment not included or insufficient returns 402
- Matrix with incompatible dimensions may return error

## 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 U matrix, singular values (Sigma diagonal), and V matrix from the decomposition, plus a human-readable computation description string explaining 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-svd-decomposition-17049cf4/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)
