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Numora Matrix Null-Space Computation
x402
Numora Matrix Null-Space Computation 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 null space (kernel) of a given matrix using pure mathematical computation with no external dependencies.
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), 'result' (an object containing the null space basis vectors — the set of all vectors x satisfying Ax=0), and 'computation' (a human-readable string describing what was computed, e.g. the dimensionality of the kernel and the basis found).
Example use cases
Solving homogeneous linear systems
“I have the coefficient matrix [[2, 1, -1], [0, 3, 2], [0, 0, 0]] for a homogeneous system Ax=0 — can you find all the solutions by computing its null space?”
Robotics joint-space analysis
“For my robot arm's Jacobian matrix [[1, 0, -1, 0], [0, 1, 0, -1], [1, 1, 0, 0]], can you compute the null space so I can find the redundant joint motions that produce no end-effector movement?”
Dimensionality reduction preprocessing
“I have this data projection matrix [[1, 2, 2], [2, 4, 4], [3, 6, 6]] — what is its null space so I can identify which input dimensions are linearly redundant?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/matrix/null-spaceWhen to prefer
Choose this endpoint when you need the exact mathematical null space (kernel) of a matrix in a pure, dependency-free computation context, especially when paying per-call via x402 micropayments is acceptable and you want a lightweight hosted math service rather than running a local linear algebra library. Prefer it over general-purpose code execution environments when you want a simple POST-and-get-result interface for null space specifically.
Side effects
- Non-2D array provided for matrix A — returns error or unexpected result
- Empty matrix or matrix with inconsistent row lengths causes parse failure
- Full-rank square matrix returns an empty null space (trivial kernel), which is valid but may surprise users expecting non-trivial results
- Very large matrices may time out or exceed computation limits
- Non-numeric values in matrix cells cause computation failure
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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