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Appendix A: Functions and Instructions 901
list1
+
list2
⇒
list
matrix1
+
matrix2
⇒
matrix
Returns a list (or matrix) containing the sums of
corresponding elements in
list1
and
list2
(or
matrix1
and
matrix2
).
Dimensions of the arguments must be equal.
{22,p,p/2}! L1 ¸ {22 p p/2}
{10,5,
p/2}! L2 ¸ {10 5 p/2}
L1+L2
¸ {32 p+5 p}
ans(1)+{
p,ë 5,ëp} ¸
{
p+32 p 0}
[a,b;c,d]+[1,0;0,1]
¸
[]
a+1 b
c d+1
expression
+
list1
⇒
list
list1
+
expression
⇒
list
Returns a list containing the sums of
expression
and each element in
list1
.
15+{10,15,20} ¸ {25 30 35}
{10,15,20}+15
¸ {25 30 35}
expression
+
matrix1
⇒
matrix
matrix1
+
expression
⇒
matrix
Returns a matrix with
expression
added to each
element on the diagonal of
matrix1
.
matrix1
must
be square.
Note: Use
.+ (dot plus) to add an expression to
each element.
20+[1,2;3,4] ¸
[
21 2
3 24
]
ì
(subtract)
|key
expression1
-
expression2
⇒
⇒⇒
⇒
expression
Returns
expression1
minus
expression2
.
6
ì 2 ¸ 4
pì pà6 ¸
5
ø p
6
list1
-
--
-
list2
⇒
list
matrix1
-
--
-
matrix2
⇒
matrix
Subtracts each element in
list2
(or
matrix2
) from
the corresponding element in
list1
(or
matrix1
),
and returns the results.
Dimensions of the arguments must be equal.
{22,p,pà2}ì{10,5,pà2} ¸
{12 pì 5 0}
[3,4]
ì [1,2] ¸ [2 2]
expression
-
--
-
list1
⇒
list
list1
-
--
-
expression
⇒
list
Subtracts each
list1
element from
expression
or
subtracts
expression
from each
list1
element, and
returns a list of the results.
15ì {10,15,20} ¸ {5 0 -5}
{10,15,20}
ì 15 ¸ {-5 0 5}
expression
-
--
-
matrix1
⇒
matrix
matrix1
-
--
-
expression
⇒
matrix
expression ì matrix1
returns a matrix of
expression
times the identity matrix minus
matrix1
.
matrix1
must be square.
matrix1
ì
expression
returns a matrix of
expression
times the identity matrix subtracted from
matrix1
.
matrix1
must be square.
Note: Use
..
..
. (dot minus) to subtract an
expression from each element.
20ì [1,2;3,4] ¸
[
19 ë 2
ë 3 16
]