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Eigvc, Eigvl – Texas Instruments TI-86 User Manual

Page 301

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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 118

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 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) …