# Axm; Axq; Basis - HP 48gII Advanced User's Reference Manual

Graphing calculator.

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Output:
If the input is a list, returns the corresponding array. If the input is an array, returns the
corresponding list.
Example:
Convert the following matrix to a list:
0 1
1 0
Command:
AXL([[0,1][1,0]])
Result:
{{0,1},{1,0}}
See also:
AXM, AXQ

## AXM

Type:
Command
Description:
Converts a numeric array (object type 3) to a symbolic matrix (object type 29), or a symbolic
matrix to a numeric array.
Matrices, !Ø
Access:
Input:
A numeric array or a symbolic matrix.
Output:
The corresponding symbolic matrix or numeric array.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
See also:
AXL, AXQ

### AXQ

Type:
Command
Description:
Converts a square matrix into the associated quadratic form.
Convert, !Ú
Access:
Input:
Level 2/Argument 1: An n×n matrix.
Level 1/Argument 2: A vector containing n variables.
Output:
Level 2/Item 1: The corresponding quadratic form.
Level 1/Item 2: The vector containing the variables.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example:
Find the quadratic form, expressed in terms of x, y, and z, associated with the following
matrix:
3 6 0
2 4 1
1 1 1
Command:
AXQ([[3,6,0][2,4,1][1,1,1]],[X,Y,Z])
Result:
{3*X^2+(8*Y+Z)*X+(4*Y^2+2*Z*Y+Z^2),[X,Y,Z]}
See also:
AXL, AXM, GAUSS, QXA

### BASIS

Type:
Command
Description:
Determines the basis of a sub-space of the n-space
Matrices, !Ø L
Access:
4-16 Computer Algebra Commands
OPERATIONS
or matrices !Ø
,
MATRIX CONVERT
VECTOR
QUADRATIC FORM
.
n
R

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