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Numora Matrix LU Decomposition API
x402
Numora Matrix LU Decomposition API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-16).
Performs LU decomposition on a square matrix, returning lower and upper triangular factor matrices.
Price / call$0.1
Success—
StatusUnknown
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), 'computation' (human-readable description of the LU decomposition performed), and 'result' (object containing the L lower-triangular matrix, U upper-triangular matrix, and optionally a permutation matrix P or pivot indices).
Example use cases
Solving system of linear equations
“I have the coefficient matrix [[2, 1, -1], [−3, −1, 2], [−2, 1, 2]] and I need to solve a linear system — can you do an LU decomposition on it so I can use forward and back substitution?”
Numerical stability analysis
“Can you LU-decompose this 3x3 matrix [[10, -7, 0], [-3, 2.099, 6], [5, -1, 5]] so I can check for numerical stability and pivot elements?”
Matrix inversion via factorization
“I need to invert the matrix [[1, 2, 3], [0, 1, 4], [5, 6, 0]] — start by giving me its LU decomposition so I can work through the inversion steps.”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/matrix/luWhen to prefer
Choose this endpoint when you need pure, dependency-free LU matrix factorization as a computation primitive — ideal for agents doing linear algebra pipelines, equation solving, or numerical methods without spinning up a Python/NumPy environment. Best when you want a fast, pay-per-call API with no server setup, especially in agentic workflows where math computation is a discrete step.
Side effects
- Non-square matrix input causes an error — LU decomposition requires square matrices
- Singular or near-singular matrix may cause numerical failure or infinite values
- Malformed 2D array (ragged rows, non-numeric values) returns a validation error
- Empty matrix or null input returns a 400-level error
- Payment failure via x402 micropayment protocol prevents computation
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| Arequired | array | Matrix (2D array) |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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