{"uid":"cap_h6Qb6EwzWDWmtZvkCQXSf","slug":"numora-matrix-condition-number-39f7c1cb","name":"Numora Matrix Condition Number","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://numormo.vercel.app/api/matrix/condition-number","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":"registry","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":"$0.1/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_Cvp1HaTFx25fQwU2ScjbQ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the condition number of a matrix, measuring how sensitive the matrix is to numerical errors in linear systems.","exampleAgentPrompt":"What's the condition number of this matrix: [[4, 3], [6, 3]]? I want to know how numerically stable it is before I try to solve a linear system with it.","exampleUseCases":[{"title":"Pre-solve numerical stability check","prompt":"Before I solve Ax = b, can you compute the condition number of A = [[10, 7, 8], [7, 5, 6], [8, 6, 10]]? I need to know if the system will be well-conditioned."},{"title":"Ill-conditioning diagnosis in ML","prompt":"My gradient descent isn't converging well. Can you check the condition number of my feature matrix [[1, 1000], [1, 1001], [1, 1002]] to see if poor conditioning might be causing the instability?"},{"title":"Matrix quality check for least squares","prompt":"I'm fitting a regression and the results look weird. Can you compute the condition number of [[2, 1], [1, 3], [3, 2]] so I can tell if the matrix is too ill-conditioned for reliable least squares?"}],"resultDescription":"Returns a JSON object with a 'success' boolean, a 'result' object containing the computed condition number (a scalar value indicating the ratio of largest to smallest singular values), and a 'computation' string describing what was computed in human-readable form.","failureModes":["Non-square or non-numeric matrix input causes a validation error","Singular matrix (condition number is infinite) may return Infinity or an error","Empty or malformed 2D array causes a 400-level error","Very large matrices may time out","Missing required 'A' field returns a schema validation error"],"whenToPreferThis":"Use this endpoint when you need a fast, dependency-free pure math computation of a matrix condition number without setting up a local numerical library. Ideal for AI agents performing pre-solve diagnostics on linear systems, checking numerical stability before matrix inversion, or validating data matrices in scientific computing pipelines. Prefer this over symbolic math services when you need a numeric scalar result quickly via a simple HTTP call.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:48:49.257Z","isFirstParty":false}