# TRANSPOSE matrix function

## Description

TRANSPOSE(**A**) returns the transpose of matrix **A**: a matrix with the row and column indices switched. The transpose of a matrix is denoted as **A′** or **A ^{T}**.

The transpose of the 3 × 2 matrix *A*:

$$ A=\begin{bmatrix}

1&5 \\

4&8 \\

6&2

\end{bmatrix} $$

1&5 \\

4&8 \\

6&2

\end{bmatrix} $$

is the 2 × 3 matrix *A′*:

$$ A^{'}=A^T=\begin{bmatrix}

1& 4 & 6\\

5 & 8 & 2 \end{bmatrix}$$

1& 4 & 6\\

5 & 8 & 2 \end{bmatrix}$$

## Calculator

## See also

## Recommended book

## Matrix Algebra Useful for Statistics

Shayle R. Searle, Andre I. Khuri

Buy from Amazon

This book addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained.