nLab
transpose matrix

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Context

Linear algebra

homotopy theory, (∞,1)-category theory, homotopy type theory

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed

models: topological, simplicial, localic, …

see also algebraic topology

Introductions

Definitions

Paths and cylinders

Homotopy groups

Basic facts

Theorems

Contents

Definition

If A=(a ij)A = (a_{i j}) is a matrix, then its transpose A TA^T is the matrix A T(a ji)A^T \coloneqq (a_{j i}).

A square matrix which is its onw transpose, A=A TA =A^T, is called a symmetric matrix.

Last revised on December 31, 2018 at 05:16:33. See the history of this page for a list of all contributions to it.