HP 48gII Graphing, 50g Graphing Detach, Access …µDETACH Input/Output, Attach, LIBS, Purge

	(See the description of dn and Chapter 16 of the User’s Guide for an explanation of the use of
	“d1” for a derivative.)
Result:	{Y(X)=(1/5*EXP(5*X)+cC0)*(1/EXP(X)^2)}
See also:	dn, LDEC
DET	Command
Type:
Description:	Determinant Function: Returns the determinant of a square matrix.
	The argument matrix must be square. DET computes the determinant of 1 × 1 and 2 × 2
	matrices directly from the defining expression for the determinant. DET computes the
	determinant of a larger matrix by computing the Crout LU decomposition of the matrix and
	accumulating the product of the decomposition’s diagonal elements.
	Since floatingpoint division is used to do this, the computed determinant of an integer matrix is
	often not an integer, even though the actual determinant of an integer matrix must be an integer.
	DET corrects this by rounding the computed determinant to an integer value. This technique is
	also used for noninteger matrices with determinants having fewer than 15 nonzero digits: the
	computed determinant is rounded at the appropriate digit position to restore some or all of the
	accuracy lost to floatingpoint arithmetic.
	This refining technique can cause the computed determinant to exhibit discontinuity. To avoid
	this, you can disable the refinement by setting flag –54.
Access:	!Ø OPERATIONS DET	( Ø is the leftshift of the	5key).
	!´NORMALIZE DET	( ´is the leftshift of the	Pkey).
Flags:	Tiny Element (–54)

Input/Output:

		Level 1/Argument 1		Level 1/Item 1
		[[ matrix ]]	→	xdeterminant
	For a square
Example:		matrix A, the minor of element aij is the determinant of the submatrix that remains
	after deleting row i and column j from the original matrix. Given a square matrix in level 3, i in
	level 2, and j in level 1, the following program, MINOR determines the minor of the submatrix:

«→ M row col

«M row ROW DROP col COL DROP DET »

»

For example, entering [[ 1 2 3 ][ 4 5 6 ][ 7 8 9 ]] 2 3 MINOR returns 6 .

See also: CNRM, CROSS, DOT, RNRM

DETACH

Type: Command

Description: Detach Library Command: Detaches the library with the specified number from the current directory. Each library has a unique number. If a port number is specified, it is ignored.

A library object attached to a non HOME directory is automatically detached (without using DETACH) whenever a new library object is attached there.

Access: …µDETACH

Input/Output:

		Level 1/Argument 1	Level 1/Item 1
		nlibrary	→
		:nport :nlibrary	→
	ATTACH,
See also:		LIBS, PURGE
			Full Command and Function Reference 357