Owner's Manual

Appendix A: Categorical Listing of Operations 897
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
]
ù
(multiply)
p key
expression1 ù expression2 ⇒
⇒⇒
⇒ expression
Returns the product of expression1 and
expression2 .
2ù 3.45 ¸ 6.9
xù yù x ¸ x
2
ø y
list1 ù list2 ⇒ list
Returns a list containing the products of the
corresponding elements in
list1 and list2 .
Dimensions of the lists must be equal.
{1.0,2,3}ù {4,5,6} ¸ {4. 10 18}
{2àa,3à2}ù {añ,bà3} ¸ {2ø a
b
2
}
matrix1 ù matrix2 ⇒ matrix
Returns the matrix product of matrix1 and matrix2 .
The number of rows in
matrix1 must equal the
number of columns in
matrix2 .
[1,2,3;4,5,6]ù [a,d;b,e;c,f]
¸
expression ù list1 ⇒ list
list1 ù expression ⇒ list
Returns a list containing the products of
expression and each element in list1 .
pù {4,5,6} ¸ {4ø p 5ø p 6ø p}
expression ù matrix1 ⇒ matrix
matrix1 ù expression ⇒ matrix
Returns a matrix containing the products of
expression and each element in matrix1 .
Note: Use
.ù (dot multiply) to multiply an
expression by each element.
[1,2;3,4]ù.01 ¸ [
.01 .02
.03 .04
]
lù identity(3) ¸
⎣
⎣⎣
⎣
⎢
⎢⎢
⎢
⎡
⎡⎡
⎡
⎦
⎦⎦
⎦
⎥
⎥⎥
⎥
⎤
⎤⎤
⎤
l 0 0
0 l 0
0 0 l
à
(divide)
e key
expression1 à expression2 ⇒
⇒⇒
⇒ expression
Returns the quotient of expression1 divided by
expression2 .
2/3.45 ¸ .57971
x^3/x ¸ x
2
list1 à list2 ⇒ list
Returns a list containing the quotients of list1
divided by
list2.
Dimensions of the lists must be equal.
{1.0,2,3}/{4,5,6} ¸
{.25 2/5 1/2}