matrix_eigenvectors
Calculate eigenvectors of a matrix using SymPy's eigenvects method to analyze linear transformations and identify key vector directions in symbolic algebra computations.
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"
}