Symbolic Algebra MCP Server

Apache 2.0

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matrix_eigenvectors

Compute eigenvectors of a matrix using SymPy to analyze linear transformations and identify key vector directions in algebraic systems.

Instructions

Calculates the eigenvectors of a matrix using SymPy's eigenvects method.

Args:
    matrix_key: The key of the matrix to calculate eigenvectors for.

Example:
    # Create a matrix
    matrix_key = create_matrix([[1, 2], [2, 1]])

    # Calculate its eigenvectors
    evecs_key = matrix_eigenvectors(matrix_key)

Returns:
    A key for the eigenvectors expression (usually a list of tuples (eigenvalue, multiplicity, [eigenvectors])).

Input Schema

Name	Required	Description	Default
`matrix_key`	Yes

Input Schema (JSON Schema)

{
  "properties": {
    "matrix_key": {
      "title": "Matrix Key",
      "type": "string"
    }
  },
  "required": [
    "matrix_key"
  ],
  "title": "matrix_eigenvectorsArguments",
  "type": "object"
}

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