---
title: "Eigendecomposition mathematical notation"
description: "Eigendecomposition is a recurring research-paper notation family. Expresses a diagonalizable linear transformation using its eigenvectors as a basis and…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/eigendecomposition"
md_url: "https://fanout.sh/labs/math-decoder/symbol/eigendecomposition.md"
last_updated: "2026-08-09"
access: "public"
---

# Eigendecomposition mathematical notation

Eigendecomposition is a recurring research-paper notation family. Expresses a diagonalizable linear transformation using its eigenvectors as a basis and…

## Public overview

Eigendecomposition is a recurring research-paper notation family. Expresses a diagonalizable linear transformation using its eigenvectors as a basis and eigenvalues as coordinate-wise scales.

Eigendecomposition: Expresses a diagonalizable linear transformation using its eigenvectors as a basis and eigenvalues as coordinate-wise scales. Example: Each eigenvector keeps its direction and is scaled by its eigenvalue.

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