Rank is computed by calculating the singular values of the matrix and counting the number of nonnegligible values. If all computed singular val ues are zero, RANK returns zero. Otherwise RANK consults flag –54 as follows:

•If flag –54 is clear (the default), RANK counts all computed singular values that are less than or equal to 1.E–14 times the largest computed singular value.

•If flag –54 is set, RANK counts all nonzero computed singular values.

Access:

!Ø OPERATIONS LRANK

( Ø is the leftshift of the

5key).

 

!´MATRIX NORMALIZE LRANK

( ´is the leftshift of the

Pkey).

Flags:

Singular Value (–54)

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

[[ matrix ]]

→

Nrank

 

 

 

 

 

See also:

LQ, LSQ, QR

 

 

 

 

 

 

 

RANM

Command

 

 

Type:

 

 

Description:

Random Matrix Command: Returns a matrix of specified dimensions that contains random

 

integers in the range –9 through 9.

 

 

The probability of a particular nonzero digit occurring is 0.05; the probability of 0 occurring is 0.1.

Access:

!Ø CREATE LLRANM

( Ø is the leftshift of the

5key).

 

!´MATRIX MAKE RANM

( ´is the leftshift of the

Pkey).

Input/Output:

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 1/Item 1

 

 

 

 

 

 

 

{ m n }

→

[[ random matrix ]]m×n

 

 

[[ matrix ]]m×n

→

[[ random matrix ]]m×n

 

 

 

 

 

 

See also:

RAND, RDZ

 

 

 

RATIO

Function

 

 

 

Type:

 

 

 

Description:

Prefix Divide Function: Prefix form of / (divide).

 

 

RATIO is identical to / (divide), except that, in algebraic syntax, RATIO is a prefix function, while / is an infix function. For example, RATIO(A,2) is equivalent to A/2.

Access: …µRATIO

Full Command and Function Reference 3191

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HP 48gII Graphing, 50g Graphing manual Ranm, Ratio, Lq, Lsq, Qr, Rand, Rdz, Access …µRATIO
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