TI-BASIC:Augment

Command Summary

Combines two lists or matrices into one. In the case of matrices, this is done horizontally rather than vertically.

Command Syntax

augment(list1,list2

augment(matrix1,matrix2

Menu Location

Press:

1. 2nd LIST to access the List menu
2. RIGHT to access the OPS submenu
3. 9 to select augment(, or use arrows

Alternatively, press:

1. MATRX (on the TI-83) or 2nd MATRX (TI-83+ or higher) to access the Matrix menu
2. RIGHT to access the MATH submenu
3. 7 to select augment(, or use arrows

Calculator Compatibility

TI-83/84/+/SE

Token Size

1 byte

The augment( command is used to combine two lists or two matrices into one. For lists, this is done the obvious way: adding the elements of the second on to the elements of the first. For example:

augment({1,2,3,4},{5,6,7
	{1 2 3 4 5 6 7}

For matrices, the columns of the second matrix are added after the columns of the first matrix: an R by C matrix augmented with an R by D matrix will result in an R by (C+D) matrix. For example:

augment([[1][2]],[[3][4]
	[[1 3]
	 [2 4]]

Advanced Uses

Use the ^^T^^ (transpose) command if you want to combine two matrices vertically, rather than horizontally. For example:

augment(1,2T,3,4T)T
	[[1 2]
	 [3 4]]

Optimization

You may be tempted to use augment( to add one element to the end of a list:

:augment(L1,{X→L1

However, the following way is faster and more memory-efficient while the program is running (although it increases the program's size):

:X→L1(1+dim(L1

Error Conditions

• ERR:DATA TYPE is thrown if you try to augment a single number to a list, a common error -- use {X instead of X.
• ERR:DIM MISMATCH is thrown if you try to augment two matrices with a different number of rows.
• ERR:INVALID DIM is thrown if one of the arguments is a list with dimension 0, or if the result would have dimension over 999 (for lists) or 99x99 (for matrices).

Related Commands

• Dim(
• seq(
• ^^T^^ (Transpose)