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Example, Examples -13 – HP 39g Graphing Calculator User Manual

Page 185

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EIGENVAL

EIGENVV

IDENMAT

INVERSE

LQ

LSQ

LU

MAKEMAT

Displays the eigenvalues in vector forni for

maTrix.

ElGEmAUrnatrix)

Eigenvectors and Eigenvalues for a square matrix. Displays a
list of two arrays. The first contains the eigenvectors and the

second contains the eigenvalues.

EIGEHNN {matrix)

Identity matrix. Creates a square matrix of dimension
size

X

size whose diagonal elements are 1 and off-diagonal

elements are zero.

IDENMAT(iiZ£-)

Inverts a square matrix (real or complex).

INVERSE(wjafru-)

LQ Factorization. Factors an m x n matrix into three matrices:

{

[[ m

X

n Iowertrapezoidal]],[[ nx n orthogonal]],

[ [ m x m permutation]]).

LQ(matrix)

Least Squares. Displays the minimum norm least squares

matrix (or vector).

LSQ{matrixJ, matrix!)

LU Decomposition. Factors a square matrix into three
matrices:

{[\lowertriangidar]],[{uppertriangular]],[[permutatioii\]}

The uppertriangular has ones on its diagonal.

hl](matrix)

Make Matrix. Creates a matrix of dimension rows x columns,
using expression to calculate each element. If expression
contains the variables I and J, then the calculation for each
element substitutes the cument row number for I and the
current column number for J.

MAKEMATlexprexxirin, rows, columns)

Example

MAKEMAT(0,3,3) returns a 3x3 zero matrix,

[[0,0,0J,[0,0,0J,[0,0,0]].

Matrices

12-11