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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 equivalent matrices
Equivalent matrices represent the same linear transformation with resect to appropriate bases.
A matrix of rank k is equivalent to a matrix with 1 in the first k diagonal entries and 0 elsewhere.
Two matrices of the same size are equivalent if and only if they have the same rank.

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History & Comments

Date	User name	Title of change	Votes
20 May 2026, 06:10 (UTC+00:00)	NLU	Fill content	0
11 December 2017, 11:01 (UTC+00:00)	NLU	Import node	0

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