Property	Value
Hex Value	$0E
Categories	Operators
Localizations	FR: ᵀ

ᵀ

Overview

Availability: Token available everywhere.

Syntax

ᵀ

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Description

Command Summary

This command calculates the transpose of a matrix.

Command Syntax

matrix^T

Menu Location

Press:

1. MATRX (on the 83) or 2nd MATRX (83+ or higher) to access the Matrix menu.
2. LEFT to access the MATH submenu
3. 2 to select ^T, or use arrows

Calculator Compatibility

TI-83/84/+/SE

Token Size

1 byte

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.

[[1,2,3][4,5,6]]
………… [[1 2 3]
…………. [4 5 6]]
Ans^T
………… [[1 4]
…………. [2 5]
…………. [3 6]]

Advanced Uses

In addition to its many uses in linear algebra, the ^T operation is useful to programmers: with operations such as Matr►list( and 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

• augment(
• cumSum(
• Matr►list(
• rowSwap( (and other row operations)

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Source: parts of this page were written by the following TI|BD contributors: DarkerLine, Timothy Foster.

History

Calculator	OS Version	Description
TI-82	1.0	Added

Authors: Adrien Bertrand