Texas Instruments TITANIUM TI-89 User Manual page 863

) ⇒ ⇒ ⇒ ⇒
list1
real(
Returns the real parts of all elements.
) ⇒ ⇒ ⇒ ⇒
matrix1
real(
Returns the real parts of all elements.
4 4 4 4 Rect
MATH/Matrix/Vector ops menu
vector 4 4 4 4 Rect
Displays
vector must be of dimension 2 or 3 and can be a
row or a column.
Note:
4 4 4 4 Rect
conversion function. You can use it only at the
end of an entry line, and it does not update
Note: See also 4
complexValue
4 4 4 4 Rect
Displays
The
complexValue
However, an r
angle mode.
Note: You must use parentheses for an (rq)
polar entry.
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
is 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
tol
tolerance is calculated as:
ë 14 ù max(dim(
5
E
ù rowNorm(
Note: See also
Appendix A: Functions and Instructions
list
matrix
vector in rectangular form [x, y, z]. The
is a display-format instruction, not a
.
Polar
in rectangular form a+b
complexValue
can have any complex form.
e i q
entry causes an error in Degree
) ⇒ ⇒ ⇒ ⇒
] matrix
tol
is ignored.
tol
is omitted or not used, the default
matrix1
))
matrix1
)
rref().
real({a+i ù b,3,i}) ¸
real([a+i ù b,3;c,i]) ¸
[3, pà 4, pà 6] 4 Rect ¸
[a,  b,  c] ¸
.
ans
In Radian angle mode:
4 ^( p /3) 4 Rect ¸
i .
e
(4 p /3) 4 Rect ¸
In Gradian angle mode:
(1  100) 4 Rect ¸
In Degree angle mode:
(4  60) 4 Rect ¸
Note: To type
2

2
'
ref([ ë 2, ë 2,0, ë 6;1, ë 1,9, ë 9; ë 5,
2,4, ë 4]) ¸
.
matrix1
. This tolerance
[a,b,c;e,f,g] ! m1 ¸
, computations
ref(m1) ¸
3 ø ‡ 2 3 ø ‡ 2
[
4
[a ø cos(b) ø sin(c)
a ø sin(b) ø sin(c) a ø cos(c)]
from the keyboard, press
4 4 4 4 Rect
operator. To type , press
for the
4 4 4 4
.
1 ë 2/5 ë 4/5


0 1 4/7

0 0 1
[
f

1

e

0 1

{a 3 0}
a 3
[ ]
c 0
3 ø ‡ 3
]
4 2
p
4 ø
e
3
2+2 ø
i
3 ø
i
2+2 ø
ø i
3 3 3 3
4/5


11/7

ë 62/71
]
a b c
e f g
g


e

a ø g ì c ø e

a ø f ì b ø e
863