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∑MathAdvanced

Wigner Semicircle Law

The Wigner Semicircle Law says that the histogram of eigenvalues of large random symmetric matrices converges to a semicircle-shaped curve.

#wigner semicircle law#random matrix#empirical spectral distribution+12
∑MathIntermediate

Eigendecomposition

Eigendecomposition expresses a matrix as a change of basis times a diagonal scaling, revealing its natural stretching directions.

#eigendecomposition
Advanced
Filtering by:
#symmetric matrix
#eigenvalue
#eigenvector
+11
📚TheoryIntermediate

Eigenvalue Decomposition

Eigenvalue decomposition rewrites a square matrix as a change of basis that reveals how it stretches and rotates space.

#eigenvalue decomposition#spectral theorem#power iteration+12