#
nLab
transpose matrix

Contents
### 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 $A = (a_{i j})$ is a matrix, then its *transpose* $A^T$ is the matrix $A^T \coloneqq (a_{j i})$.

A square matrix which is its own transpose, $A =A^T$, is called a symmetric matrix.

Last revised on June 16, 2023 at 16:36:55.
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