TI-BASIC:Transpose - Revision history

Maintenance script: Automated internal link correction

2016-02-24T23:22:25Z

Automated internal link correction

← Older revision		Revision as of 23:22, 24 February 2016
Line 48:		Line 48:
	* [[TI-BASIC:Augment\|Augment(]]		* [[TI-BASIC:Augment\|Augment(]]
	* [[TI-BASIC:Cumsum\|CumSum(]]		* [[TI-BASIC:Cumsum\|CumSum(]]
	* [[TI-BASIC:~~Matr►list(~~\|Matr►list(]]		* [[TI-BASIC:Matr_List\|Matr►list(]]
	* \|- (and other row operations)[[Category:TI-BASIC]]		* \|- (and other row operations)[[Category:TI-BASIC]]
	[[Category:TIBD]]		[[Category:TIBD]]

Maintenance script: Automated superscript correction

2016-02-24T22:25:31Z

Automated superscript correction

← Older revision		Revision as of 22:25, 24 February 2016
Line 9:		Line 9:
	'''Command Syntax'''		'''Command Syntax'''

	''matrix''^^T^^		''matrix''<sup>T</sup>

	'''Menu Location'''		'''Menu Location'''
Line 16:		Line 16:
	# MATRX (on the 83) or 2nd MATRX (83+ or higher) to access the Matrix menu.		# MATRX (on the 83) or 2nd MATRX (83+ or higher) to access the Matrix menu.
	# LEFT to access the MATH submenu		# LEFT to access the MATH submenu
	# 2 to select ^^T^^, or use arrows		# 2 to select <sup>T</sup>, or use arrows

	'''Calculator Compatibility'''		'''Calculator Compatibility'''
Line 27:		Line 27:
	</div>		</div>

	The ^^T^^ command is used to calculate the transpose of a matrix: it flips a matrix along its main diagonal. This means that the (i,j)th element becomes the (j,i)th element, and vice versa. As a result, the transpose of an M by N matrix is an N by M matrix.		The <sup>T</sup> command is used to calculate the transpose of a matrix: it flips a matrix along its main diagonal. This means that the (i,j)th element becomes the (j,i)th element, and vice versa. As a result, the transpose of an M by N matrix is an N by M matrix.

	{{Template:TI-BASIC:Prgm-code \|code=		{{Template:TI-BASIC:Prgm-code \|code=
Line 33:		Line 33:
	<span style="color:transparent;"}}............[[/span> [[1 2 3]		<span style="color:transparent;"}}............[[/span> [[1 2 3]
	<span style="color:transparent;">.............</span> [4 5 6]{$br}		<span style="color:transparent;">.............</span> [4 5 6]{$br}
	Ans^^T^^		Ans<sup>T</sup>
	<span style="color:transparent;">............</span> [[1 4]		<span style="color:transparent;">............</span> [[1 4]
	<span style="color:transparent;">.............</span> [2 5]		<span style="color:transparent;">.............</span> [2 5]
Line 42:		Line 42:
	= Advanced Uses =		= Advanced Uses =

	In addition to its many uses in linear algebra, the ^^T^^ operation is useful to programmers: with operations such as [[TI-BASIC:Matr_List\|Matr►list(]] and [[TI-BASIC:Augment\|augment(]], which normally deal with columns, ^^T^^ allows you to use rows instead. See the "Related Commands" section for the commands that this is useful for.		In addition to its many uses in linear algebra, the <sup>T</sup> operation is useful to programmers: with operations such as [[TI-BASIC:Matr_List\|Matr►list(]] and [[TI-BASIC:Augment\|augment(]], which normally deal with columns, <sup>T</sup> allows you to use rows instead. See the "Related Commands" section for the commands that this is useful for.

	= Related Commands =		= Related Commands =

Maintenance script: Initial automated import

2016-02-24T18:35:28Z

Initial automated import

New page

<div style="float:right; width: 16em; padding: 1em 1em 0; margin: 1em 0 1em 1em; border-left: solid #888888 1px; background-color: #FFFFFF;">

[[File:T.GIF]]

'''Command Summary'''

This command calculates the transpose of a matrix.

'''Command Syntax'''

''matrix''^^T^^

'''Menu Location'''

Press:
# MATRX (on the 83) or 2nd MATRX (83+ or higher) to access the Matrix menu.
# LEFT to access the MATH submenu
# 2 to select ^^T^^, or use arrows

'''Calculator Compatibility'''

TI-83/84/+/SE

'''Token Size'''

[[TI-BASIC:Tokens|1 byte]]
</div>

The ^^T^^ command is used to calculate the transpose of a matrix: it flips a matrix along its main diagonal. This means that the (i,j)th element becomes the (j,i)th element, and vice versa. As a result, the transpose of an M by N matrix is an N by M matrix.

{{Template:TI-BASIC:Prgm-code |code=
[[1,2,3][4,5,6]{$br}
<span style="color:transparent;"}}............[[/span> [[1 2 3]
<span style="color:transparent;">.............</span> [4 5 6]{$br}
Ans^^T^^
<span style="color:transparent;">............</span> [[1 4]
<span style="color:transparent;">.............</span> [2 5]
<span style="color:transparent;">.............</span> [3 6]{$br}
|br=]
]]

= Advanced Uses =

In addition to its many uses in linear algebra, the ^^T^^ operation is useful to programmers: with operations such as [[TI-BASIC:Matr_List|Matr►list(]] and [[TI-BASIC:Augment|augment(]], which normally deal with columns, ^^T^^ allows you to use rows instead. See the "Related Commands" section for the commands that this is useful for.

= Related Commands =

* [[TI-BASIC:Augment|Augment(]]
* [[TI-BASIC:Cumsum|CumSum(]]
* [[TI-BASIC:Matr►list(|Matr►list(]]
* |- (and other row operations)[[Category:TI-BASIC]]
[[Category:TIBD]]