Matrix functions, continued – HP 38g Graphing Calculator User Manual

Page 141

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Matrix Functions, continued

LQ

LQ Factorization. Factors mxn

matrix

into three matrices:

{ [ [

mXn

lowertrapezoidal]

] , [ [ nxn

orthogonal]

]

,

[ [ mxm

permutation

] ]}

.

hQ [matrix)

LSQ

Least Squares. Displays the minimum norm least squares matrix

(or vector).

hSQ [matrix!, 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

x

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.

y¡AKEMAT(expression, rows, columns')

Example:

MAKEMAT ( 0 , 3 , 3 )

returns a 3x3 zero matrix,

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

QR

QR Factorization. Factors an

mXn matrix

into three matrices:

{ [

[ m X m orthogonal]

]

, [ { m X n uppertrapezoidal]

]

,

[ [ n x n

permutation]

] ).

QR [matrix)

RANK

Rank (an integer) of a rectangular

matrix.

RANK

(mate)

ROWNORM

Row Norm. Finds the maximum value (over all rows) of the sums
of the absolute values of all elements in a row.

ROWNORM (mate)

RREF

Reduced Row-Echelon. Changes a rectangular

matrix

to its

reduced row-echelon form.

RREF

[matrix)

Using Matrices 6-11

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