Reference Guide
3-172 Full Command and Function Reference
Access: …µ
PMIN
Input/Output:
Level 1/Argument 1 Level 1/Item 1
(x,y)
→
See also: PDIM, PMAX, XRNG, YRNG
PMINI
Type: Command
Description: Finds the minimal polynomial of a matrix.
Access: Matrices, ! Ø L
EIGENVECTORS
Input: An
nxn
matrix A.
Output: A matrix whose first zero-row contains the minimal polynomial of A. In step-by-step mode,
PMINI shows the row-reduction steps.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Step-by-step mode can be set (flag –100 set).
Example: Find the minimal polynomial of
0 1
1 0
:
Command:
PMINI([[0,1][1,0]])
Result:
1 0 0 1 1
0 1 1 0 X
0 0 0 0 X
2
1–
So, the minimal polynomial is
X
2
-1
, as it is in the first row to contain entirely
zeros, except for the result.
See also: JORDAN, PCAR
POLAR
Type: Command
Description: Polar Plot Type Command: Sets the plot type to POLAR.
When the plot type is POLAR, the DRAW command plots the current equation in polar
coordinates, where the independent variable is the polar angle and the dependent variable is the
radius. The current equation is specified in the reserved variable EQ.
The plotting parameters are specified in the reserved variable PPAR, which has this form:
{ (x
min
, y
min
) (x
max
, y
max
) indep res axes ptype depend }
For plot type POLAR, the elements of PPAR are used as follows:
•
(x
min
, y
min
) is a complex number specifying the lower left corner of PICT (the lower left corner
of the display range). The default value is (–6.5,–3.1) for the HP 48gII and (–6.5,–3.9) for the
HP 50g and 49g+.
•
(x
max
, y
max
) is a complex number specifying the upper right corner of PICT (the upper right
corner of the display range). The default value is (6.5,3.2) for the HP 48gII and (6.5,4.0) for the
HP 50g and 49g+.
•
indep is a name specifying the independent variable, or a list containing such a name and two
numbers specifying the minimum and maximum values for the independent variable (the
plotting range). The default value of indep is X.