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Diagonalizable matrix

In linear algebra, a square matrix A {\displaystyle A} is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there exists an invertible matrix P {\displaystyle P} and a diagonal matrix D {\displaystyle D} such that P − 1 A P = D {\displaystyle P^{-1}AP=D} . This is equivalent to A = P D P − 1 {\displaystyle…

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Definition

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Diagonalization

Simultaneous diagonalization

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Application to matrix functions

Quantum mechanical application

Operator theory

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Diagonalizable matrix

Nodes97
Edges96
Triples1
Avg. degree1.98
Density0.020619
Components1

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Diagonalizable matrix

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is a · 1
Diagonalizable matrix → inhomogeneous dilation

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displaystyle matrix diagonalizable diagonal basis matrices -1 eigenvectors form eigenvalues exists field space eigenvalue mathbb following linear entries operator complex

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SubjectPredicateObjectConfidenceSrc
Diagonalizable matrixis ainhomogeneous dilation0.90text

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