Operators used in matrix expressions fall into three general categories:
- Prefix operators
-
are placed in front of operands. For example,
-Auses the sign reversal prefix operator (
) in front of the matrix Ato reverse the sign of each element ofA. - Binary operators
-
are placed between operands. For example,
A + Buses the addition binary operator (+) between matricesAandBto add corresponding elements of the matrices. - Postfix operators
-
are placed after an operand. For example,
A‘uses the transpose postfix operator (`) after the matrixAto transpose the matrix.
Matrix operators are described in detail in Chapter 23: Language Reference.
Table 5.1 shows the precedence of matrix operators in the SAS/IML language.
Table 5.1: Operator Precedence
|
Priority Group |
Operators |
||||||
|---|---|---|---|---|---|---|---|
|
I (highest) |
^ |
|
subscripts |
|
## |
** |
|
|
II |
* |
# |
<> |
>< |
/ |
@ |
|
|
III |
+ |
|
|||||
|
IV |
|
// |
: |
||||
|
V |
< |
<= |
> |
>= |
= |
^= |
|
|
VI |
& |
||||||
|
VII (lowest) |
| |
||||||
