Texas Instruments TI-89 Manual Book page 459

Ti ti-89: user guide
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e^(squareMatrix1)
Returns the matrix exponential of
squareMatrix1
calculating e raised to the power of each
element. For information about the
calculation method, refer to
squareMatrix1
result always contains floating-point
numbers.
eigVc()
MATH/Matrix menu
eigVc(squareMatrix)
Returns a matrix containing the eigenvectors
for a real or complex
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
x
+ x
2
1
squareMatrix
transformations until the row and column
norms are as close to the same value as
possible. The
upper Hessenberg form and the eigenvectors
are computed via a Schur factorization.
eigVl()
MATH/Matrix menu
eigVl(squareMatrix)
Returns a list of the eigenvalues of a real or
complex
squareMatrix
transformations until the row and column
norms are as close to the same value as
possible. The
upper Hessenberg form and the eigenvalues
are computed from the upper Hessenberg
matrix.
Else
See If, page 456.
ElseIf
CATALOG See also If, page 456.
If Boolean expression1 Then
block1
ElseIf Boolean expression2 Then
block2
©
ElseIf Boolean expressionN Then
blockN
EndIf
©
can be used as a program instruction
ElseIf
for program branching.
442
Appendix A: Functions and Instructions
squareMatrix
. This is not the same as
.
cos()
must be diagonalizable. The
matrix
squareMatrix
, x
, ... , x
], then:
1
2
n
+ ... + x
= 1
2
2
2
n
is first balanced with similarity
is then reduced to
squareMatrix
list
.
squareMatrix
is first balanced with similarity
is then reduced to
squareMatrix
e^([1,5,3;4,2,1;6,ë 2,1]) ¸
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]! m1 ¸
, where
eigVc(m1) ¸
ë.800...
.484...
.352...
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]! m1 ¸
eigVl(m1) ¸
Program segment:
©
:If choice=1 Then
:
Goto option1
:
ElseIf choice=2 Then
:
Goto option2
:
ElseIf choice=3 Then
:
Goto option3
:
ElseIf choice=4 Then
:
Disp "Exiting Program"
:
Return
:EndIf
©
782.209 559.617 456.509
680.546 488.795 396.521
524.929 371.222 307.879
ë 1
3
2
.767...
.767...
.573...+.052...øi
.573...ì.052...øi
.262...+.096...øi
.262...ì.096...øi
ë 1
3
2
{ë4.409... 2.204...+.763...
2.204...ì.763...
2
5
ë 6
9
ë 5
7
2
5
ë 6
9
ë 5
7
i
ø
i}
ø

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