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Matrices
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Basic terminology and notation
Operations on matrices
Particular types of matrices
Matrix equivalence
Canonical forms of matrices
Factorization of matrices
Similarity of matrices
Nonsingular matrices and equivalences
Rank and mullity
Eigenvalues and eigenvectors
Determinants
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Definition of similar matrices
Similarity of matrices in an equivalence relation.
Definition of similarity transform
Similar matrices have the same eigenvalues and the same characteristic polynomials.
Every square matrix is similar to one in Jordan form.
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Similarity of matrices
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Definition of similar matrices
Similarity of matrices in an equivalence relation.
Definition of similarity transform
Similar matrices have the same eigenvalues and the same characteristic polynomials.
Every square matrix is similar to one in Jordan form.
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