Input/Output:

Level 1/Argument 1

 

Level 1/Item 1

 

 

 

x

'a/b*̟'

x

'a/b'

'symb1'

'symb2'

(x,y)

'a/b*̟ + c/d*̟*i'

(x,y)

'a/b + c/d*i'

Example:

In Fix mode

to three decimal places, 6.2832 →Qπ returns '44/7'. In Standard mode,

 

however, 6.2832 →Qπ returns '3927/625'.

 

 

See also:

→Q, /, XQ, π

 

 

 

 

 

 

 

 

 

 

 

 

qr

Command

 

 

 

 

Type:

 

 

 

 

Description:

qr Factorization of a square Matrix Command: Returns the qr factorization of an n × n matrix.

 

qr factors an n × n matrix A into two matrices:

 

 

 

Q is an n × m orthogonal matrix.

 

 

 

 

R is an n × n triangular matrix.

 

 

 

 

Where A = Q × R.

 

 

 

 

Access:

FACTORIZATION qr

(Ø is the left-shift of the 5key).

Input/Output:

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 2/Item 1

Level 1/Item 2

 

 

 

 

 

 

 

 

 

 

[[ matrix ]]A

[[ matrix ]]Q

[[ matrix ]]R

 

 

 

 

 

 

 

 

See also:

LQ, LSQ

 

 

 

 

 

 

 

 

 

 

 

 

QR

Command

 

 

 

 

Type:

 

 

 

 

Description:

QR Factorization of a Matrix Command: Returns the QR factorization of an m × n matrix.

QR factors an m × n matrix A into three matrices:

Q is an m × m orthogonal matrix.

R is an m × n upper trapezoidal matrix.

P is a n × n permutation matrix. Where A × P = Q × R.

Access:

FACTORIZATION QR

 

( Ø is the left-shift of the 5key).

 

MATRIX FACTORS QR

 

( ´is the left-shift of the Pkey).

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 3/Item 1

Level 2/Item 2

Level 1/Item 3

 

 

 

 

 

 

 

 

 

[[ matrix ]]A

[[ matrix ]]Q

[[ matrix ]]R

[[ matrix ]]P

See also:

LQ, LSQ

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

QUAD

Command

 

 

 

 

Type:

 

 

 

 

Description:

Solve Quadratic Equation Command: This command is identical to the computer algebra

 

command SOLVE, and is included for backward compatibility with the HP 48G series.

Access:

…µQUAD

 

 

 

 

Flags:

Principal Solution (–1)

 

 

 

 

3-188 Full Command and Function Reference