Texas Instruments TI-89 Titanium User Manual page 839

ref()
MATH/Matrix menu
) ⇒
matrix1 [ tol ]
ref( ,
Returns the row echelon form of
Optionally, any matrix element is treated as zero if
its absolute value is less than
used only if the matrix has floating-point entries and
does not contain any symbolic variables that have
not been assigned a value. Otherwise,
• If you use ¥ ¸ or set the mode to
Exact/Approx=APPROXIMATE
are done using floating-point arithmetic.
• If
is omitted or not used, the default tolerance
tol
is calculated as:
ë 14 ù max(dim(
5
E
Note: See also
remain()
MATH/Number menu
expression1
remain(
) ⇒
list1 list2
remain( ,
matrix1 matrix2
remain( ,
Returns the remainder of the first argument with
respect to the second argument as defined by the
identities:
remain(x,0)
remain(x,y)
As a consequence, note that
ì
remain(x,y)
same sign as the first argument.
Note: See also
Rename
CATALOG
oldVarName
Rename
Renames the variable
Request
CATALOG
promptString
Request
If
Request
it creates an input box for the user to type in data. If
it is a stand-alone instruction, it creates a dialog box
for this input. In either case, if
it is displayed and highlighted in the input box as a
default choice.
characters.
This instruction can be stand-alone or part of a
dialog construct.
836
matrix
.
matrix1
. This tolerance is
tol
tol
, computations
matrix1 )) ù rowNorm(
rref().
) ⇒
expression2 expression
,
list
) ⇒
matrix
x
xì yùiPart(x/y)
remain(ì x,y)
. The result is either zero or it has the
.
mod()
newVarName
,
as
oldVarName newVarName
var
,
is inside a ...
Dialog EndDlog
contains a string,
var
must be { 20
promptString
ref([ë 2,ë 2,0,ë 6;1,ë 1,9,ë 9;ë 5,
2,4,ë 4]) ¸



is ignored.
[a,b,c;e,f,g]!m1 ¸
ref(m1) ¸
matrix1
)
remain(7,0) ¸
remain(7,3) ¸
remain(ë 7,3) ¸
remain(7,ë 3) ¸
remain(ë 7,ë 3) ¸
remain({12,ë 14,16},{9,7,ë 5})
¸
remain([9,ë 7;6,4],[4,3;4,ë 3])
¸
{1,2,3,4}! L1 ¸
Rename L1, list1 ¸
.
list1 ¸
Request "Enter Your Name",str1
¸
construct,
Appendix A: Functions and Instructions
1 ë 2/5 ë 4/5 4/5
0 1 4/7 11/7
0 0 1 ë 62/71

a b

e f

f g
1

e e

aøgì cøe
 0 1
aøfì bøe
{3
1
[
2
{1,2,3,4}
{1,2,3,4}




c

g




7
1
ë 1
1
ë 1
0 1}
ë 1
]
1
Done