Calculator User Manual

Chapter 20: A to Z Function and Instruction Reference
289
20ATOZ.DOC TI-86, Chap 20, US English Bob Fedorisko Revised: 02/13/01 2:42 PM Printed: 02/13/01 3:05 PM Page 289 of 11820ATOZ.DOC TI-86, Chap 20, US English Bob Fedorisko Revised: 02/13/01 2:42 PM Printed: 02/13/01 3:05 PM Page 289 of 118
e^list
Returns a list in which each element is
e
raised to the
power specified by the corresponding element in
list
.
e^{1,0,.5}
b
{2.71828182846 1 1.6…
The squareMatrix cannot
have repeated
eigenvalues.
e^squareMatrix
Returns a square matrix that is the matrix exponential
of
squareMatrix
. The matrix exponential corresponds
to the result calculated using power series or Cayley-
Hamilton Theorem techniques. This is
not
the same as
simply calculating the exponential of each element.
eigVc
MATRX MATH menu
The squareMatrix cannot
have repeated
eigenvalues.
eigVc squareMatrix
Returns a matrix containing the eigenvectors for a real
or complex
squareMatrix
, where each column in the
result corresponds to an eigenvalue. The eigenvectors
of a real matrix may be complex. Note that an
eigenvector is not unique; it may be scaled by any
constant factor. TI
-
86 eigenvectors are normalized.
In
RectC
complex number mode:
[[
L
1,2,5][3,
L
6,9][2,
L
5,7]]
¶
MAT
b
[[
L
1 2 5]
[3
L
6 9]
[2
L
5 7]]
eigVc MAT
b
[[(.800906446592,0) …
[(
L
.484028886343,0)…
[(
L
.352512270699,0)…
eigVl
MATRX MATH menu
eigVl squareMatrix
Returns a list of the eigenvalues of a real or complex
squareMatrix
. The eigenvalues of a real matrix may be
complex.
In
RectC
complex number mode:
[[
L
1,2,5][3,
L
6,9][2,
L
5,7]]
¶
MAT
b
[[
L
1 2 5]
[3
L
6 9]
[2
L
5 7]]
eigVl MAT
b
{(
L
4.40941084667,0) …