{"uid":"cap_HdN4r-FHtLM6SFa89s8bE","slug":"numora-matrix-condition-number-ae82d869","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://numomo.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_zb13HhqzRQiuq0-uZTWB1","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, indicating how sensitive a linear system is to numerical errors or perturbations.","exampleAgentPrompt":"What is the condition number of the matrix [[3, 1], [1, 2]]? I want to know how numerically stable it is before solving a linear system.","exampleUseCases":[{"title":"Numerical stability check before solving","prompt":"I'm about to solve a linear system Ax=b. Can you compute the condition number of my matrix A = [[10, 7, 8, 7], [7, 5, 6, 5], [8, 6, 10, 9], [7, 5, 9, 10]] to see if the system is well-conditioned?"},{"title":"Machine learning feature matrix assessment","prompt":"I have a feature matrix [[1, 2, 3], [4, 5, 6], [7, 8, 10]] and I want to know its condition number to understand if multicollinearity might be a problem in my regression model."},{"title":"Engineering simulation matrix validation","prompt":"Before running my finite element simulation, can you check the condition number of this stiffness matrix [[200, -100, 0], [-100, 200, -100], [0, -100, 100]] to make sure it won't cause numerical issues?"}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed condition number (a scalar value indicating matrix conditioning — values close to 1 are well-conditioned, very large values indicate ill-conditioning or near-singularity), and a human-readable computation description string.","failureModes":["Non-square or singular matrix may return an error or infinity","Malformed 2D array input (jagged rows, non-numeric values) causes validation failure","Singular matrix (determinant zero) may yield infinite or undefined condition number","Empty matrix or scalar input rejected as invalid"],"whenToPreferThis":"Choose this endpoint when you need a pure, dependency-free numerical computation of a matrix's condition number without setting up a local math library. Ideal for AI agents performing linear algebra checks in pipelines, especially when assessing whether a matrix is suitable for numerical methods like solving linear equations or inverting. Particularly useful in environments where installing scipy or numpy is impractical.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:49:00.800Z","isFirstParty":false}