Matrix identity

matrix-identity · version 1.0.0 · Vectors & matrices · free, no key needed

Construct the NxN identity matrix for a given size.

Use when you need to: identity matrix · construct an identity matrix.

Supported

• identity matrix
• construct an identity matrix

Not supported

• non-square diagonal matrices with custom diagonal values
• matrices larger than 20x20

Behavior

• Input size is an integer from 1 to 20.
• The result is the NxN identity matrix: result[r][c] = 1 when r === c, otherwise 0, where N is size. Values are exact integers, not subject to floating-point rounding.

Input

• size (integer, required): min 1; max 20

Output

• result (array of array of number, required)

Limits

• max dim: 20

Example

Request input:

{
  "size": 3
}

Response:

{
  "result": {
    "result": [
      [
        1,
        0,
        0
      ],
      [
        0,
        1,
        0
      ],
      [
        0,
        0,
        1
      ]
    ]
  }
}

How to call it

MCP

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

{
  "id": "matrix-identity",
  "version": "1.0.0",
  "input": {
    "size": 3
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/matrix-identity/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"size":3}'

The machine-readable contract is at /v1/tools/matrix-identity/versions/1.0.0.

CLI

node cli.mjs run matrix-identity 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Matrix add: Add two equal-shape finite-number matrices elementwise.
• Matrix determinant: Compute the determinant of a small square finite-number matrix.
• Matrix hadamard: Multiply two equal-shape finite-number matrices elementwise (Hadamard product).
• Matrix inverse: Compute the inverse of a small square finite-number matrix.
• Matrix multiply: Multiply an MxK finite-number matrix by a KxN finite-number matrix, producing an MxN matrix.
• Matrix rank: Compute the numerical rank of a finite-number matrix (square or rectangular).