Linear Algebra with Applications, 10th Edition

Relational and Logical Operators

MATLAB has six relational operators that are used for comparisons of scalars or elementwise comparisons of arrays. These operators are:

Relational Operators
$<$	less than
$<=$	less than or equal
$>$	greater than
$>=$	greater than or equal
$==$	equal
$\sim =$	not equal

Given two $m\times n$ matrices A and B, the command

$$C=A<B$$

will generate an $m\times n$ matrix consisting of zeros and ones. The $(i,j)$ entry will be equal to 1 if and only if $a_{ij}<b_{ij}$. For example, suppose that

$$\begin{array}{ccc}A& =& \left[\begin{array}{ccc}\hfill -2& \hfill 0& \hfill 3\\ \hfill 4& \hfill 2& \hfill -5\\ \hfill -1& \hfill -3& \hfill 2\end{array}\right]\end{array}$$

The command $A>=0$ will generate

$$\begin{array}{c}\mathsf{\text{ans}}=\\ \hfill 0& \hfill 1& \hfill 1\\ \hfill 1& \hfill 1& \hfill 0\\ \hfill 0& \hfill 0& \hfill 1\end{array}$$

There are three logical operators in MATLAB:

Logical Operators
&	AND
|	OR
∼	NOT

These logical operators regard any nonzero scalar as corresponding to TRUE and 0 as corresponding ...