Appendix A: Functions and Instructions 181
í @ ^ key H 2^key
mantissa
E
exponent
Enters a number in scientific notation. The
number is interpreted as
mantissa
× 10
exponent
.
Hint: If you want to enter a power of 10 without
causing a decimal value result, use 10^
integer
.
2.3í 4 ¸ 23000.
2.3í 9+4.1í 15
¸ 4.1í 15
3ù 10^4
¸ 30000
e
^() @ ¥ s key H 2s key
e
^(
expression1
) ⇒
expression
Returns
e
raised to the
expression1
power.
Note: On the TI-89 Titanium, pressing ¥ s to
display e^( is different from pressing j
[E] .
On the Voyage 200, pressing 2s to display
e^ is different from accessing the character e
from the QWERTY keyboard.
You can enter a complex number in
r
e
i
q
polar
form. However, use this form in Radian angle
mode only; it causes a
Domain error in Degree
angle mode.
e
^(1) ¸
e
e
^(1.) ¸ 2.718...
e
^(3)^2 ¸
e
9
e
^(
list1
) ⇒
list
Returns
e
raised to the power of each element in
list1
.
e
^({1,1.,0,.5}) ¸
{
e
2.718... 1 1.648...}
e
^(
squareMatrix1
) ⇒
squareMatrix
Returns the matrix exponential of
squareMatrix1
.
This is
not
the same as calculating
e
raised to the
power of each element. For information about the
calculation method, refer to
cos().
squareMatrix1
must be diagonalizable. The result
always contains floating-point numbers.
e
^([1,5,3;4,2,1;6,ë 2,1]) ¸
782.209 559.617 456.509
680.546 488.795 396.521
524.929 371.222 307.879
eigVc() MATH/Matrix menu
eigVc(
squareMatrix
) ⇒
matrix
Returns a matrix containing the eigenvectors for a
real or complex
squareMatrix
, where each column
in the result corresponds to an eigenvalue. Note
that an eigenvector is not unique; it may be
scaled by any constant factor. The eigenvectors
are normalized, meaning that if V = [x
1
, x
2
, … ,
x
n
], then:
x
1
2
+ x
2
2
+ … + x
n
2
= 1
squareMatrix
is first balanced with similarity
transformations until the row and column norms
are as close to the same value as possible. The
squareMatrix
is then reduced to upper Hessenberg
form and the eigenvectors are computed via a
Schur factorization.
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]! m1 ¸
ë 1 2 5
3 ë 6 9
2 ë 5 7
eigVc(m1)
¸
ë.800… .767… .767…
.484… .573…+.052…øi .573…ì.052…øi
.352… .262…+.096…øi .262…ì.096…øi
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