Reference Guide

3-188 Full Command and Function Reference
Input/Output:
Level 1/Argument 1 Level 1/Item 1
x
→
'a/b*̟'
x
→
'a/b'
'symb
1
'
→
'symb
2
'
(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
Type: Command
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: !Ø 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
Type: Command
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: !Ø 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
Type: Command
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: …µ QUAD
Flags: Principal Solution (–1)