{"uid":"cap_UHrL0GCVn7_6rN11LLQt-","slug":"numora-matrix-svd-endpoint-ae6ed429","name":"Numora Matrix SVD Endpoint","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/svd","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_51owrY9t8KasUCAaOhi52","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 Singular Value Decomposition (SVD) of a matrix, returning U, Sigma, and V components","exampleAgentPrompt":"Can you compute the singular value decomposition of this matrix for me: [[1,2,3],[4,5,6],[7,8,9]]? I need the U, Sigma, and V components.","exampleUseCases":[{"title":"Principal component analysis preprocessing","prompt":"I need to do SVD on this data matrix to prepare for PCA — can you decompose [[2,1,0],[1,3,1],[0,1,2]] and give me the singular values and vectors?"},{"title":"Check matrix rank via singular values","prompt":"What's the numerical rank of the matrix [[1,2,4],[2,4,8],[3,6,12]]? Decompose it with SVD and I'll check how many singular values are non-zero."},{"title":"Image compression simulation","prompt":"Decompose this 4x4 pixel intensity matrix [[10,20,30,40],[50,60,70,80],[90,100,110,120],[130,140,150,160]] using SVD so I can identify the dominant components for compression."}],"resultDescription":"Returns a JSON object with success=true, a computation string describing what was performed, and a result object containing the SVD components: the U matrix (left singular vectors), an array of singular values (Sigma), and the V (or V-transpose) matrix (right singular vectors).","failureModes":["Non-rectangular or malformed matrix input returns an error","Singular or near-singular matrices may produce numerical instability warnings","Missing required field 'A' results in a 400-level validation error","Empty matrix or matrix with inconsistent row lengths may cause computation failure","Payment failure via x402 micropayment returns 402 Payment Required before computation begins"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, zero-dependency SVD computation for matrices in a pure math context — ideal for AI agents performing linear algebra tasks like dimensionality reduction, pseudoinverse computation, least-squares solving, or rank determination. Prefer this over general-purpose compute services when you want fast, deterministic mathematical results billed per-call with no subscription or setup overhead.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:48:03.222Z","isFirstParty":false}