TI-BASIC:Transpose

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.

{{Template:TI-BASIC:Prgm-code |code= [[1,2,3][4,5,6]{$br} [[1 2 3] ............. [4 5 6]{$br} Ans^T ............ [[1 4] ............. [2 5] ............. [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 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(
• |- (and other row operations)