# Numora Matrix Determinant API

> Numora Matrix Determinant API 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).

Computes the determinant of a square matrix supplied as a 2D array, returning the scalar result with no external dependencies.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/matrix/determinant
- 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-matrix-determinant-api-7c909fe7
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_VjFSoKOW8_ymIdr_II2u_

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-determinant-api-7c909fe7 -d '<json body>'
```

Example prompt: Calculate the determinant of this 3x3 matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]].

## When to prefer this

Choose this endpoint when you need a fast, dependency-free determinant calculation for any square matrix, especially in agentic pipelines where installing numpy or scipy is not viable. Ideal for checking matrix invertibility, verifying unique solutions to linear systems, or preprocessing steps before eigenvalue or decomposition operations. Pays via x402 micropayment on Base, making it suitable for automated agent workflows with crypto payment rails.

## Known failure modes

- Non-square matrix provided — determinant is undefined, returns error
- Malformed 2D array input — validation error
- Singular or near-singular matrix may return 0 determinant (valid result, not an error)
- Missing required field 'A' — returns 400-level error
- Rows of inconsistent length — malformed matrix 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' (boolean), 'result' (object containing the computed determinant scalar), and 'computation' (human-readable string describing what was calculated, e.g. 'Determinant of a 3x3 matrix').

## 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-determinant-api-7c909fe7/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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