{"uid":"cap_QAuo_jCuXrbCX3Cr8sVmf","slug":"numora-matrix-null-space-775c1d8c","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://numormor.netlify.app/api/matrix/null-space","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":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_QLX7xKxPLuZnZ_Hh0BXWb","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","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 using pure mathematical computation.","exampleAgentPrompt":"Find the null space of this matrix: [[1, 2, -1], [2, 4, -2], [3, 6, -3]].","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the null space basis vectors (the set of all vectors x such that Ax=0), and a human-readable computation string describing what was computed.","failureModes":["Matrix A is not provided or is malformed (non-2D array) — returns error","Non-numeric entries in the matrix — returns computation error","Payment not included or insufficient USDC via x402 — returns 402 Payment Required","Matrix dimensions are inconsistent (rows of different lengths) — returns validation error","Network timeout on Netlify serverless function — returns 5xx error"],"whenToPreferThis":"Use this endpoint when you need a pure serverless math computation of a matrix null space with no external dependencies, especially when working in an x402 micropayment context on Base. Prefer this over general-purpose CAS tools when you want a lightweight, single-purpose API call that returns clean structured JSON without overhead.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:49:27.112Z","isFirstParty":false}