Linear Algebra
Compose 2D or 3D rotate, scale and translate steps into one homogeneous matrix, optionally applied to a point.
The wallet the 402 directs payment to. Its whole payment record — every payer, every chain — is on the merchant page.
Asset 0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913
The payTo wallet does not resolve to a registered ERC-8004 agent. That is not a verdict on the service — most of the catalog is unregistered.
Live 402 challenge
Captured by the enrichment pass, not read just now. Prices can change — always read the 402 the endpoint answers with.
{
"error": "Payment required",
"accepts": [
{
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"extra": {
"name": "USD Coin",
"version": "2"
},
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact",
"network": "base",
"mimeType": "application/json",
"resource": "https://linear-algebra.x402tookit.com/transform-compose",
"description": "Compose 2D or 3D rotate, scale and translate steps into one homogeneous matrix, optionally applied to a point.",
"outputSchema": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"dim": 2,
"point": "[1,0]",
"steps": "[{\"op\":\"rotate\",\"deg\":90},{\"op\":\"translate\",\"tx\":1,\"ty\":0}]"
}
},
"output": {
"asOf": "2026-10-12T00:51:56.774Z",
"size": 3,
"matrix": [
[
0,
-1
],
[
1,
0
]
],
"source": "computed locally",
"inverse": [
[
0,
1
],
[
-1,
0
]
],
"reasons": [
"Each step is a homogeneous matrix; they are multiplied so the first step acts first.",
"The linear part is orthonormal: distances and angles are preserved.",
"…1 more"
],
"summary": "Composed 2 steps into one 3x3 matrix; point maps to (1, 1).",
"verdict": "TRANSFORM_COMPOSED",
"degraded": false,
"orderNote": "steps are applied first to last to a column vector, so the matrix is M = S_n * ... * S_2 * S_1",
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"notChecked": [
"your graphics library's conventions: this uses column vectors, right-handed axes and counter-clockwise positive rotation, so a row-vector or left-handed system needs the transpose or a sign change",
"shear, reflection and perspective (not offered)",
"…1 more"
],
"rigidMotion": true,
"stepsApplied": [
"rotate(90 deg)",
"translate(1, 0)"
],
"transformedPoint": [
1,
1
],
"preservesDistances": true,
"linearPartDeterminant": 1
}
},
"maxAmountRequired": "20000",
"maxTimeoutSeconds": 300
},
{
"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
"extra": {
"feePayer": "BFK9TLC3edb13K6v4YyH3DwPb5DSUpkWvb7XnqCL9b4F"
},
"payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
"scheme": "exact",
"network": "solana",
"mimeType": "application/json",
"resource": "https://linear-algebra.x402tookit.com/transform-compose",
"description": "Compose 2D or 3D rotate, scale and translate steps into one homogeneous matrix, optionally applied to a point.",
"outputSchema": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"dim": 2,
"point": "[1,0]",
"steps": "[{\"op\":\"rotate\",\"deg\":90},{\"op\":\"translate\",\"tx\":1,\"ty\":0}]"
}
},
"output": {
"asOf": "2026-10-12T00:51:56.774Z",
"size": 3,
"matrix": [
[
0,
-1
],
[
1,
0
]
],
"source": "computed locally",
"inverse": [
[
0,
1
],
[
-1,
0
]
],
"reasons": [
"Each step is a homogeneous matrix; they are multiplied so the first step acts first.",
"The linear part is orthonormal: distances and angles are preserved.",
"…1 more"
],
"summary": "Composed 2 steps into one 3x3 matrix; point maps to (1, 1).",
"verdict": "TRANSFORM_COMPOSED",
"degraded": false,
"orderNote": "steps are applied first to last to a column vector, so the matrix is M = S_n * ... * S_2 * S_1",
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"notChecked": [
"your graphics library's conventions: this uses column vectors, right-handed axes and counter-clockwise positive rotation, so a row-vector or left-handed system needs the transpose or a sign change",
"shear, reflection and perspective (not offered)",
"…1 more"
],
"rigidMotion": true,
"stepsApplied": [
"rotate(90 deg)",
"translate(1, 0)"
],
"transformedPoint": [
1,
1
],
"preservesDistances": true,
"linearPartDeterminant": 1
}
},
"maxAmountRequired": "20000",
"maxTimeoutSeconds": 300
},
{
"asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
"extra": {
"name": "USD Coin",
"version": "2"
},
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact",
"network": "polygon",
"mimeType": "application/json",
"resource": "https://linear-algebra.x402tookit.com/transform-compose",
"description": "Compose 2D or 3D rotate, scale and translate steps into one homogeneous matrix, optionally applied to a point.",
"outputSchema": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"dim": 2,
"point": "[1,0]",
"steps": "[{\"op\":\"rotate\",\"deg\":90},{\"op\":\"translate\",\"tx\":1,\"ty\":0}]"
}
},
"output": {
"asOf": "2026-10-12T00:51:56.774Z",
"size": 3,
"matrix": [
[
0,
-1
],
[
1,
0
]
],
"source": "computed locally",
"inverse": [
[
0,
1
],
[
-1,
0
]
],
"reasons": [
"Each step is a homogeneous matrix; they are multiplied so the first step acts first.",
"The linear part is orthonormal: distances and angles are preserved.",
"…1 more"
],
"summary": "Composed 2 steps into one 3x3 matrix; point maps to (1, 1).",
"verdict": "TRANSFORM_COMPOSED",
"degraded": false,
"orderNote": "steps are applied first to last to a column vector, so the matrix is M = S_n * ... * S_2 * S_1",
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"notChecked": [
"your graphics library's conventions: this uses column vectors, right-handed axes and counter-clockwise positive rotation, so a row-vector or left-handed system needs the transpose or a sign change",
"shear, reflection and perspective (not offered)",
"…1 more"
],
"rigidMotion": true,
"stepsApplied": [
"rotate(90 deg)",
"translate(1, 0)"
],
"transformedPoint": [
1,
1
],
"preservesDistances": true,
"linearPartDeterminant": 1
}
},
"maxAmountRequired": "20000",
"maxTimeoutSeconds": 300
}
],
"x402Version": 1,
"alsoAvailable": {
"llms": "https://linear-algebra.x402tookit.com/llms.txt",
"catalog": "https://linear-algebra.x402tookit.com/catalog",
"message": "Linear Algebra has 10 pay-per-call endpoints (Matrix multiply, determinant, inverse, rank, linear solve, eigenvalues, vector ops, least squares and transforms.), from $0.02 a call. See the full menu and send your agents our way.",
"openapi": "https://linear-algebra.x402tookit.com/openapi.json",
"related": [
{
"url": "https://linear-algebra.x402tookit.com/transpose",
"path": "/transpose",
"what": "Transpose a matrix (up to 10x10) with trace, symmetry and skew-symmetry flags, and Froben…",
"price": "$0.02"
},
{
"url": "https://linear-algebra.x402tookit.com/vector-ops",
"path": "/vector-ops",
"what": "Vector dot, cross, norm, angle, projection, unit vector and distance for vectors of up to…",
"price": "$0.02"
},
{
"url": "https://linear-algebra.x402tookit.com/determinant",
"path": "/determinant",
"what": "Determinant of a square matrix (up to 10x10) by LU with partial pivoting, flagging a nume…",
"price": "$0.02"
}
]
}
}Accepts
The payment requirements as published to the catalog. Read the live 402 before paying — a price here is a claim, not a quote.
Pay 0.02 USDC on Base to 0xb531…2DBDa. The signed payment is good for 5 minutes.
- Paid to
- 0xb531…2DBDa
- USD Coin contract
- 0x8335…02913
- Payment window
- 5 minutes
- As published
- 20000 smallest units
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- DUPiup…eEm8s
- Token contract
- EPjFWd…TDt1v
- Payment window
- 5 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 0xb531…2DBDa
- Token contract
- 0x3c49…c3359
- Payment window
- 5 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 0xb531…2DBDa
- Token contract
- 0xaf88…e5831
- Payment window
- 5 minutes
The catalog’s raw entry
[
{
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"extra": {
"name": "USD Coin",
"version": "2"
},
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"amount": "20000",
"scheme": "exact",
"network": "eip155:8453",
"maxTimeoutSeconds": 300
},
{
"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
"extra": {
"feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM"
},
"payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
"amount": "20000",
"scheme": "exact",
"network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
"maxTimeoutSeconds": 300
},
{
"asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
"extra": {
"name": "USD Coin",
"version": "2"
},
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"amount": "20000",
"scheme": "exact",
"network": "eip155:137",
"maxTimeoutSeconds": 300
},
{
"asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
"extra": {
"name": "USD Coin",
"version": "2"
},
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"amount": "20000",
"scheme": "exact",
"network": "eip155:42161",
"maxTimeoutSeconds": 300
}
]Extensions
{
"bazaar": {
"info": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"dim": 2,
"point": "[1,0]",
"steps": "[{\"op\":\"rotate\",\"deg\":90},{\"op\":\"translate\",\"tx\":1,\"ty\":0}]"
}
},
"output": {
"type": "json",
"example": {
"asOf": "2026-10-12T00:51:56.774Z",
"size": 3,
"matrix": [
[
0,
-1
],
[
1,
0
]
],
"source": "computed locally",
"inverse": [
[
0,
1
],
[
-1,
0
]
],
"reasons": [
"Each step is a homogeneous matrix; they are multiplied so the first step acts first.",
"The linear part is orthonormal: distances and angles are preserved.",
"…1 more"
],
"summary": "Composed 2 steps into one 3x3 matrix; point maps to (1, 1).",
"verdict": "TRANSFORM_COMPOSED",
"degraded": false,
"orderNote": "steps are applied first to last to a column vector, so the matrix is M = S_n * ... * S_2 * S_1",
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"notChecked": [
"your graphics library's conventions: this uses column vectors, right-handed axes and counter-clockwise positive rotation, so a row-vector or left-handed system needs the transpose or a sign change",
"shear, reflection and perspective (not offered)",
"…1 more"
],
"rigidMotion": true,
"stepsApplied": [
"rotate(90 deg)",
"translate(1, 0)"
],
"transformedPoint": [
1,
1
],
"preservesDistances": true,
"linearPartDeterminant": 1
}
}
},
"schema": {
"type": "object",
"$schema": "https://json-schema.org/draft/2020-12/schema",
"required": [
"input"
],
"properties": {
"input": {
"type": "object",
"required": [
"type",
"method"
],
"properties": {
"type": {
"type": "string",
"const": "http"
},
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"type": "object",
"required": [
"steps"
],
"properties": {
"dim": {
"type": "integer",
"description": "2 (default, 3x3 matrix) or 3 (4x4 matrix)"
},
"point": {
"type": "string",
"description": "Optional point to transform, JSON like [1,0] or 1,0,0 with dim entries"
},
"steps": {
"type": "string",
"description": "JSON list applied in order, e.g. [{\"op\":\"rotate\",\"deg\":90},{\"op\":\"translate\",\"tx\":1,\"ty\":0}]; scale takes s or sx,sy,sz; 3D rotate needs axis"
}
}
}
},
"additionalProperties": false
},
"output": {
"type": "object",
"required": [
"type"
],
"properties": {
"type": {
"type": "string"
},
"example": {
"type": "object",
"properties": {
"asOf": {
"type": [
"null",
"string"
]
},
"size": {
"type": [
"null",
"number"
]
},
"matrix": {
"type": [
"array",
"null"
],
"items": {
"type": "array",
"items": {
"type": "number"
}
}
},
"source": {
"type": [
"null",
"string"
]
},
"inverse": {
"type": [
"array",
"null"
],
"items": {
"type": "array",
"items": {
"type": "number"
}
}
},
"reasons": {
"type": [
"array",
"null"
],
"items": {
"type": "string"
}
},
"summary": {
"type": [
"null",
"string"
]
},
"verdict": {
"type": [
"null",
"string"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"orderNote": {
"type": [
"null",
"string"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"notChecked": {
"type": [
"array",
"null"
],
"items": {
"type": "string"
}
},
"rigidMotion": {
"type": [
"boolean",
"null"
]
},
"stepsApplied": {
"type": [
"array",
"null"
],
"items": {
"type": "string"
}
},
"transformedPoint": {
"type": [
"array",
"null"
],
"items": {
"type": "number"
}
},
"preservesDistances": {
"type": [
"boolean",
"null"
]
},
"linearPartDeterminant": {
"type": [
"null",
"number"
]
}
}
}
}
}
}
}
}
}Provenance
- Seen in the source catalog
- 2026-10-20 20:46Z
- Last indexed by Roundhouse
- 2026-10-22 06:50Z
- Last enriched (probe, favicon, geo)
- 2026-10-20 23:45Z
- x402 version
- 2
- Max timeout
- 300s
- Liveness probe
- HTTP 402
Hand this page to an agent
Copy the prompt and paste it into Claude, an MCP client or your own agent — it will vet this service and call it over the free read API. No key, no account.
GET api.roundhouseai.io/v0/endpoints
This endpoint's own trailing-30-day call count, as published by the upstream catalog and snapshotted daily. 4 snapshots so far. Verified volume counts only settlements with an on-chain EIP-3009 marker.
Show the promptHide the prompt
Using Roundhouse, look up the x402 service Linear Algebra and tell me whether it is worth paying: what a call costs, whether the endpoint answered when last probed, and what its payment record actually shows. curl -s 'https://api.roundhouseai.io/v0/endpoints?q=Linear%20Algebra' curl -s 'https://api.roundhouseai.io/v0/merchants/<the payTo wallet returned above>' Then call it: read the price from the live 402 at https://linear-algebra.x402tookit.com/transform-compose, never from a cached figure, and pay with an x402 client. The /v0 API needs an API key (`authorization: Bearer rh_live_…`) on everything except /v0/unified* and /v0/endpoints. Either pay over x402 (mint a personal key for $0.01 at GET https://api.roundhouseai.io/v0/test/x402), or ask me for an organization key, which I create at https://roundhouseai.io/dashboard/connections. If you have neither, ask before going further. If you do not have Roundhouse tools or skills installed, read https://roundhouseai.io/skill.md first — it is the whole procedure.