# Numora Matrix Condition Number

> Numora Matrix Condition Number 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 condition number of a matrix, indicating how sensitive a linear system is to perturbations

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/condition-number
- 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-condition-number-d2722db6
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_kaEzXznLc6iMqO6F567RO

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-condition-number-d2722db6 -d '<json body>'
```

Example prompt: What's the condition number of this matrix: [[4, 3], [6, 3]]? I need to know if it's well-conditioned before solving a linear system with it.

## When to prefer this

Use this endpoint when you need to assess the numerical stability of a matrix before solving a linear system, performing matrix inversion, or doing any sensitivity analysis. Ideal for AI agents working on numerical computing tasks without wanting to implement LA libraries themselves. Choose this over general-purpose math libraries when you need a zero-dependency, pay-per-use micropayment model via x402 on Base.

## Known failure modes

- Non-square matrix provided — condition number is typically defined for square matrices
- Singular matrix with undefined condition number (infinite)
- Malformed 2D array input — rows of unequal length
- Empty matrix array
- Payment failure via x402 micropayment — 402 response returned

## 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 computed condition number (a scalar value), and a computation string describing what was calculated. A high condition number indicates an ill-conditioned matrix prone to numerical errors.

## 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-condition-number-d2722db6/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)