HP 39g+ User Manual

Page 183

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Matrices

12-11

EIGENVAL

Displays the eigenvalues in vector form for matrix.

EIGENVAL(matrix)

EIGENVV

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

EIGENVV(matrix)

IDENMAT

Identity matrix. Creates a square matrix of dimension
size × size whose diagonal elements are 1 and off-diagonal
elements are zero.

IDENMAT(size)

INVERSE

Inverts a square matrix (real or complex).

INVERSE(matrix)

LQ

LQ Factorization. Factors an m × n matrix into three matrices:
{[[ m × n lowertrapezoidal]],[[ n ×

n orthogonal]],

[[ m × m permutation]]}.

LQ(matrix)

LSQ

Least Squares. Displays the minimum norm least squares
matrix (or vector).

LSQ(matrix1, matrix2)

LU

LU Decomposition. Factors a square matrix into three
matrices:
{[[lowertriangular]],[[uppertriangular]],[[permutation]]}
The uppertriangular has ones on its diagonal.

LU(matrix)

MAKEMAT

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

MAKEMAT(expression, rows, columns)

Example

MAKEMAT(0,3,3) returns a 3×3 zero matrix,
[[0,0,0],[0,0,0],[0,0,0]].

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