Matrix diagonalization is a pivotal concept in linear algebra, involving the transformation of a matrix into a diagonal form using its eigenvectors and eigenvalues. This process is crucial for understanding linear transformations and is applicable in physics, engineering, and computer science. Diagonalization requires a matrix to have a full set of linearly independent eigenvectors. Symmetric and Hermitian matrices are inherently diagonalizable, while non-diagonalizable matrices may use the Jordan canonical form for analysis.
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Definition of non-diagonalizable matrices
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Consequence of non-diagonalizability in computations
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Purpose of Jordan canonical form
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Matrix Diagonalization in Linear Algebra
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Diagonalization in Computer Graphics and Physics
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Diagonalization in Engineering
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