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Definition: An eigenvalue is a scalar associated with a linear system of equations that scales an eigenvector of a linear transformation.
Usage: Used in studying dynamic systems, quantum mechanics, and data reduction techniques like Principal Component Analysis.
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Example 1 Description:
Example 1 LaTeX: A\mathbf{v} = \lambda\mathbf{v}
Example 2 Description:
Example 2 LaTeX: \det(A - \lambda I) = 0
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