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Mathematics

Eigenvalues and Eigenvectors and Their Role in Diagonalization

Quick fact

German mathematician David Hilbert first used the term 'eigenvalue' in 1904, derived from the German word 'eigen', meaning 'own' or 'characteristic', because eigenvalues reveal the matrix's own intrinsic properties.

Why this is interesting

Imagine a rubber sheet that can be stretched, sheared, or rotated. Are there any directions where the sheet is only stretched or shrunk, without being turned? The answer to that question is the heart of eigenvalues and eigenvectors.

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