Vector outer product

vector-outer-product · version 1.0.0 · Vectors & matrices · free, no key needed

Compute the outer product of two finite-number vectors, producing a matrix.

Use when you need to: vector outer product · tensor product of two vectors · rank-1 matrix from two vectors.

Supported

• vector outer product
• tensor product of two vectors
• rank-1 matrix from two vectors

Not supported

• inner/dot product (use vector-dot)
• outer product of more than two vectors

Behavior

• Inputs a (length M) and b (length N) are arrays of 1 to 64 finite JSON numbers each, magnitude bounded to at most 1000000; a and b may have different lengths.
• The result is the MxN matrix result[i][j] = a[i] * b[j], computed in IEEE-754 double precision.
• A result entry of -0 is normalized to 0.

Input

• a (array of number, required): min items 1; max items 64
• b (array of number, required): min items 1; max items 64

Output

• result (array of array of number, required)

Limits

• max dim: 64
• max abs value: 1000000

Example

Request input:

{
  "a": [
    1,
    2
  ],
  "b": [
    3,
    4,
    5
  ]
}

Response:

{
  "result": {
    "result": [
      [
        3,
        4,
        5
      ],
      [
        6,
        8,
        10
      ]
    ]
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "vector-outer-product",
  "version": "1.0.0",
  "input": {
    "a": [
      1,
      2
    ],
    "b": [
      3,
      4,
      5
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/vector-outer-product/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"a":[1,2],"b":[3,4,5]}'

The machine-readable contract is at /v1/tools/vector-outer-product/versions/1.0.0.

CLI

node cli.mjs run vector-outer-product 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Vector dot: Compute the dot (scalar) product of two equal-length finite-number vectors.
• Matrix multiply: Multiply an MxK finite-number matrix by a KxN finite-number matrix, producing an MxN matrix.
• Vector add: Add two equal-length finite-number vectors elementwise.
• Vector lerp: Linearly interpolate (or extrapolate) between two equal-length finite-number vectors.
• Matrix determinant: Compute the determinant of a small square finite-number matrix.
• Matrix hadamard: Multiply two equal-shape finite-number matrices elementwise (Hadamard product).