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Linear Algebra Rank, Nullity & RREF
x402
Linear Algebra Rank, Nullity & RREF is a paid API for AI agents from linear-algebra.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Computes the rank, nullity, reduced row echelon form (RREF), and pivot columns of a matrix up to 10x10
Price / call$0.02
Success—
StatusUnknown
How this service works
Rank, nullity and reduced row echelon form of a matrix (up to 10x10) with pivot columns.
Output
Returns the matrix rank, nullity, left nullity, reduced row echelon form (RREF) as a 2D array, pivot column indices, a full-rank boolean flag, row and column dimensions, a summary string, and optional degraded/disclaimer fields.
Example use cases
Checking linear independence of vectors
“I have three vectors [1,0,2], [0,1,3], and [2,1,7] — can you tell me the rank and RREF of the matrix they form, and whether they're linearly independent?”
Identifying pivot columns in a system
“For the matrix [[2,1,-1],[4,2,3],[6,3,1]], find the RREF and tell me which columns are pivot columns so I can identify the basic variables.”
Verifying full-rank status for regression
“Before I run a regression, can you check if my design matrix [[1,2],[3,4],[5,6],[7,8]] is full rank by computing its rank and nullity?”
Technical details
Endpoint
GEThttps://linear-algebra.x402tookit.com/rank?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need the rank, nullity, pivot columns, or RREF of a matrix in a single call. It is preferable over generic CAS tools when you need structured JSON output including all four properties at once, and is especially useful for educational, debugging, or pre-processing steps before solving linear systems.
Side effects
- Matrix exceeds 10x10 size limit — returns error
- Malformed matrix input (invalid JSON or semicolon format) — returns parse error
- Non-numeric values in matrix — returns validation error
- Service unavailable or payment failure — HTTP error with no result
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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