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<div class="title">TRANSPOSE Matrix Transpose Operator </div> </div>
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<div class="textblock"><p>Section: <a class="el" href="sec_operators.html">Mathematical Operators</a> </p>
<h1><a class="anchor" id="Usage"></a>
Usage</h1>
<p>Performs a transpose of the argument (a 2D matrix). The syntax for its use is </p>
<pre class="fragment"> y = a.';
</pre><p> where <code>a</code> is a <code>M x N</code> numerical matrix. The output <code>y</code> is a numerical matrix of the same type of size <code>N x M</code>. This operator is the non-conjugating transpose, which is different from the Hermitian operator <code>'</code> (which conjugates complex values). </p>
<h1><a class="anchor" id="Function"></a>
Internals</h1>
<p>The transpose operator is defined simply as </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ y_{i,j} = a_{j,i} \]" src="form_137.png"/>
</p>
<p> where <code>y_ij</code> is the element in the <code>i</code>th row and <code>j</code>th column of the output matrix <code>y</code>. </p>
<h1><a class="anchor" id="Examples"></a>
Examples</h1>
<p>A simple transpose example:</p>
<pre class="fragment">--> A = [1,2,0;4,1,-1]
A =
1 2 0
4 1 -1
--> A.'
ans =
1 4
2 1
0 -1
</pre><p>Here, we use a complex matrix to demonstrate how the transpose does <b>not</b> conjugate the entries.</p>
<pre class="fragment">--> A = [1+i,2-i]
A =
1.0000 + 1.0000i 2.0000 - 1.0000i
--> A.'
ans =
1.0000 + 1.0000i
2.0000 - 1.0000i
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