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Numora Matrix Null Space
x402
Numora Matrix Null Space is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Computes the null space (kernel) of a matrix — the set of all vectors x such that Ax = 0
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 a 'success' boolean, a 'result' object containing the null space basis vectors (spanning vectors of the kernel), and a human-readable 'computation' string describing what was calculated. If the null space is trivial (only the zero vector), the result will indicate that.
Example use cases
Solving underdetermined linear systems
“I have a system of equations represented by the matrix [[1, 2, -1, 0], [2, 4, -2, 0], [0, 1, 1, -1]] and I need to find all vectors in its null space so I can characterize the full solution set.”
Checking linear dependence of columns
“Can you compute the null space of [[1, 2, 3], [4, 5, 6], [7, 8, 9]] to figure out whether there are non-trivial dependencies among the columns of this matrix?”
Finding degrees of freedom in a constraint system
“I'm working on a robotics constraint matrix [[1, 0, -1, 2], [0, 1, 1, -1]] and I need the null space to determine how many degrees of freedom the system has.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/matrix/null-spaceWhen to prefer
Use this endpoint when you need pure mathematical computation of a matrix null space with no external dependencies, billed per-call via x402 micropayments. Prefer this over symbolic math libraries when you want a lightweight, serverless, pay-per-use solution with a simple REST interface. Best suited for AI agents needing on-demand linear algebra within automated pipelines.
Side effects
- Non-rectangular or malformed 2D array input returns an error
- Matrix with non-numeric entries will fail
- Missing required 'A' field returns validation error
- Extremely large matrices may time out or exceed memory limits
- Singular or near-singular matrices handled numerically — may have floating-point precision issues
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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