HP 48GII

3-136 Full Command and Function Reference
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.
Access: …µ
QUAD
Flags: Principal Solution (-1)
Input/Output:
Level 2/Argument 1 Level 1/Argument 2 Level 1/Item 1
'symb
1
' 'global'
→
'symb
2
'
See also: COLCT, EXPAN, ISOL, SHOW, SOLVE
QUOT
CAS: Return the quotient part of the Euclidean division of two polynomials.
QUOTE
Type: Function
Description: Quote Argument Function: Returns its argument unevaluated.
When an algebraic expression is evaluated, the arguments to a function in the expression are
evaluated before the function. For example, when SIN(X) is evaluated, the name X is evaluated
first, and the result is placed on the stack as the argument for SIN.
This process creates a problem for functions that require symbolic arguments. For example, the
integration function requires as one of its arguments a name specifying the variable of