# Sindri Linear Equation Solver

> Sindri Linear Equation Solver is a paid API for AI agents from ppu43fkyhimq5fiqpmo42eh5ri0yypid.lambda-url.us-east-1.on.aws, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-12).

Solves a system of linear equations (Ax = b) using LU decomposition for up to 20x20 systems, with a near-singularity guard.

## Facts

- Endpoint: POST https://ppu43fkyhimq5fiqpmo42eh5ri0yypid.lambda-url.us-east-1.on.aws/solveLinearEquation?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-12
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/sindri-linear-equation-solver-5b5829a9
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_MKDUjtGArpX4zqQpG0pB_

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability sindri-linear-equation-solver-5b5829a9 -d '<json body>'
```

Example prompt: Solve this system of linear equations for me: the coefficients are [[2,1,-1],[−3,−1,2],[−2,1,2]] and the right-hand side constants are [8,−11,−3].

## When to prefer this

Choose this endpoint when you need a fast, reliable numerical solution to a small-to-medium system of linear equations (up to 20x20) without setting up a local math library. It's ideal for one-off computational tasks in agentic workflows, offering a near-singularity guard that makes it safer than naive Gaussian elimination. Prefer it over general-purpose compute if you just need Ax = b solved quickly at low cost.

## Known failure modes

- Singular or near-singular matrix detected — returns error rather than an unstable solution
- Matrix not square (n x n required) — validation error
- Dimension mismatch between coefficients matrix and constants vector
- System size exceeds 20x20 limit
- Malformed or non-numeric input values

## How this service works

Solves a system of linear equations (Ax = b) using the ml-matrix library's LU decomposition (LuDecomposition), with a near-singularity guard beyond the library's exact-singular check, for systems up to 20x20.

## Output

Returns the solution vector x satisfying Ax = b, computed via LU decomposition. If the matrix is singular or near-singular, an error is returned instead of an unreliable result.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "constants": {
   "type": "array",
   "description": "Array of n constants (the right-hand side of each equation)."
  },
  "coefficients": {
   "type": "array",
   "description": "Square 2D array of coefficients (n x n), up to 20x20."
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/sindri-linear-equation-solver-5b5829a9/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from ppu43fkyhimq5fiqpmo42eh5ri0yypid.lambda-url.us-east-1.on.aws](https://www.zero.xyz/host/ppu43fkyhimq5fiqpmo42eh5ri0yypid.lambda-url.us-east-1.on.aws/llms.txt)