{"uid":"cap_EUOASUrqbsSFZI98Y1__G","slug":"numora-matrix-null-space-computation-43d9088c","name":"Numora Matrix Null Space","description":"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.","url":"https://numorapoi.orbonomy.xyz/api/matrix/null-space?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","required":["A"],"properties":{"A":{"type":"array","description":"Matrix (2D array)"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm__jz8ufSy0XgGU6TWjj0U6","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the null space (kernel) of a given matrix","exampleAgentPrompt":"Find the null space of this matrix: [[1, 2, -1], [2, 4, -2], [3, 6, -3]] — I need the basis vectors that span its kernel.","exampleUseCases":null,"resultDescription":"Returns a JSON object with a 'result' containing the null space basis vectors (as a list of vectors), a 'success' boolean, and a 'computation' string describing what was calculated in human-readable form.","failureModes":["Invalid or malformed matrix input (non-rectangular array) returns an error","Non-numeric values in the matrix cause computation failure","Empty matrix or missing 'A' field triggers a 400-level validation error","Payment failure via x402 returns a 402 Payment Required response"],"whenToPreferThis":"Use this endpoint when you need to compute the null space (kernel) of a matrix without setting up a local math library. Ideal for AI agents needing pure server-side linear algebra with no external dependencies, especially in serverless or constrained environments where libraries like numpy are unavailable.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-17T18:49:23.186Z","isFirstParty":false,"canonicalSlug":"numora-matrix-null-space-computation-43d9088c"}