## TRANSPOSE Matrix Transpose Operator

Section: Mathematical Operators

### Usage

Performs a transpose of the argument (a 2D matrix). The syntax for its use isy = a.';

where `a`

is a `M x N`

numerical matrix. The output `y`

is a numerical matrix
of the same type of size `N x M`

. This operator is the non-conjugating transpose,
which is different from the Hermitian operator `'`

(which conjugates complex values).

### Function Internals

The transpose operator is defined simply as

where `y_ij`

is the element in the `i`

th row and `j`

th column of the output matrix `y`

.

### Examples

A simple transpose example:--> A = [1,2,0;4,1,-1] A = 1 2 0 4 1 -1 --> A.' ans = 1 4 2 1 0 -1

Here, we use a complex matrix to demonstrate how the transpose does \emph{not} conjugate the entries.

--> A = [1+i,2-i] A = 1.0000 + 1.0000i 2.0000 - 1.0000i --> A.' ans = 1.0000 + 1.0000i 2.0000 - 1.0000i