Matrix transpose

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

Transpose an MxN finite-number matrix into an NxM matrix.

Use when you need to: matrix transpose · flip rows and columns.

Supported

• matrix transpose
• flip rows and columns

Not supported

• conjugate transpose for complex numbers
• sparse matrix representation

Behavior

• Input matrix is a rectangular array of 1 to 20 rows of 1 to 20 finite JSON numbers, magnitude bounded to at most 1000000.
• The result is the NxM matrix where result[c][r] = matrix[r][c]; no arithmetic is performed so values are exact, including for non-finite-checked inputs already rejected upstream.
• A result entry of -0 (only possible if the input already contained -0) is normalized to 0.

Input

• matrix (array of array of number, required): min items 1; max items 20

Output

• result (array of array of number, required)

Limits

• max rows: 20
• max cols: 20
• max abs value: 1000000

Example

Request input:

{
  "matrix": [
    [
      1,
      2,
      3
    ],
    [
      4,
      5,
      6
    ]
  ]
}

Response:

{
  "result": {
    "result": [
      [
        1,
        4
      ],
      [
        2,
        5
      ],
      [
        3,
        6
      ]
    ]
  }
}

How to call it

MCP

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

{
  "id": "matrix-transpose",
  "version": "1.0.0",
  "input": {
    "matrix": [
      [
        1,
        2,
        3
      ],
      [
        4,
        5,
        6
      ]
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/matrix-transpose/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"matrix":[[1,2,3],[4,5,6]]}'

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

CLI

node cli.mjs run matrix-transpose 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 identity: Construct the NxN identity matrix for a given size.
• 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.