# Linear Algebra Matrix Multiplication

> Linear Algebra Matrix Multiplication 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).

Multiplies two matrices (up to 10x10) provided as JSON arrays, returning the product matrix along with shape information and validity checks.

## Facts

- Endpoint: GET https://linear-algebra.x402tookit.com/matrix-multiply?utm_source=zero.xyz
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-29
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/linear-algebra-matrix-multiplication-1c59e799
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_oWsNm9m2PFHU4ZnU5GVxh

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 linear-algebra-matrix-multiplication-1c59e799
```

Example prompt: Can you multiply matrix A = [[1,2,3],[4,5,6]] by matrix B = [[7,8],[9,10],[11,12]] and give me the resulting product matrix?

## When to prefer this

Choose this endpoint when you need a fast, validated matrix multiplication of two matrices up to 10x10, especially when you want shape-checking and a human-readable summary alongside the numeric result. It is ideal for agentic workflows that need to verify dimensional compatibility before downstream use. Prefer this over a general-purpose code interpreter when you want a lightweight, pay-per-call computation without spinning up a full runtime.

## Known failure modes

- Incompatible dimensions: columns of A do not equal rows of B — returns reasons array explaining the mismatch
- Matrix exceeds 10x10 limit — returns an error or validation failure
- Malformed JSON input for A or B — request fails to parse
- Non-numeric values in matrix entries — computation cannot proceed

## How this service works

Multiply two matrices (up to 10x10) given as JSON, with shape check and the product matrix.

## Output

Returns the product matrix as a 2D JSON array, along with the output shape (rows x cols), a boolean indicating whether the result is square, a human-readable summary, reasons for any validation failures, and metadata fields like asOf and source.

## Request schema (JSON Schema)

```json
{
 "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": [
      "A",
      "B"
     ],
     "properties": {
      "A": {
       "type": "string",
       "description": "Left matrix, JSON like [[1,2],[3,4]] or 1,2;3,4 (max 10x10)"
      },
      "B": {
       "type": "string",
       "description": "Right matrix, same formats; rows of B must equal columns of A"
      }
     }
    }
   },
   "additionalProperties": false
  },
  "output": {
   "type": "object",
   "required": [
    "type"
   ],
   "properties": {
    "type": {
     "type": "string"
    },
    "example": {
     "type": "object",
     "properties": {
      "asOf": {
       "type": [
        "null",
        "string"
       ]
      },
      "shape": {
       "type": [
        "array",
        "null"
       ],
       "items": {
        "type": "number"
       }
      },
      "source": {
       "type": [
        "null",
        "string"
       ]
      },
      "square": {
       "type": [
        "boolean",
        "null"
       ]
      },
      "product": {
       "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"
       ]
      },
      "disclaimer": {
       "type": [
        "null",
        "string"
       ]
      },
      "notChecked": {
       "type": [
        "array",
        "null"
       ],
       "items": {
        "type": "string"
       }
      }
     }
    }
   }
  }
 }
}
```

## More

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