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Matrix Transpose in LaTeX: Notation and Examples

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Matrix Transpose Notation in LaTeX

The transpose is a fundamental matrix operation. Here's how to write it correctly in LaTeX.

Basic Transpose Notation

Superscript T (Most Common)

Prime Notation

Transpose Symbol

Creating Matrices in LaTeX

Basic Matrix (No Brackets)

Matrices with Brackets

Transpose Examples

Vector Transpose

Matrix Transpose

Transpose Properties

Basic Properties

Determinant and Inverse

Inner Product

Special Matrices

Symmetric Matrix

Skew-Symmetric Matrix

Orthogonal Matrix

Common Formulas with Transpose

Normal Equations (Least Squares)

Covariance Matrix

Quadratic Form

SVD

Conjugate Transpose (Hermitian)

For complex matrices:

Typographic Best Practices

  1. Upright T is preferred: A^{\mathsf{T}} looks more professional

  1. Bold vectors: \mathbf{x}^T not x^T

  1. Consistent notation: Pick one style and stick with it

  1. Proper spacing: Use \quad between related matrices

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