gibson:teaching:spring-2016:math445:lecture:vectors
====== Differences ====== This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
gibson:teaching:spring-2016:math445:lecture:vectors [2016/01/27 10:01] gibson [The transpose operator: ' (apostrophe)] |
gibson:teaching:spring-2016:math445:lecture:vectors [2016/01/28 11:33] (current) gibson [Math 445 lecture 2: Vectors] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ====== Math 445 lecture 2: Vectors ====== | ====== Math 445 lecture 2: Vectors ====== | ||
| + | topics | ||
| + | |||
| + | <code> | ||
| + | [] % creating vector vectors with square brackets | ||
| + | () % accessing/assigning vector elements with parentheses | ||
| + | ' % the transpose operator, apostrophe | ||
| + | : % the colon operator, making range vectors | ||
| + | + - % vector addition, subtraction | ||
| + | .* ./ .^ % elementwise vector operations | ||
| + | </code> | ||
| ===== Vectors in math ===== | ===== Vectors in math ===== | ||
| Line 73: | Line 83: | ||
| - | ===== The transpose operator: ' (apostrophe) ===== | + | ===== The transpose operator ' (apostrophe) ===== |
| Note that last method. In Matlab, the apostrophe '' ' '' stands for the **transpose**. | Note that last method. In Matlab, the apostrophe '' ' '' stands for the **transpose**. | ||
| Line 110: | Line 120: | ||
| </code> | </code> | ||
| - | ===== Further material ===== | + | ===== Constructing vectors with the colon operator : ===== |
| + | |||
| + | The Matlab **colon** operator : is used in a number of ways. Here we'll see how it can be used to create vectors. The most straightforward of these is the syntax ''m:n'', which creates a row vector of the integers from ''m'' to ''n''. E.g. | ||
| + | |||
| + | <code> | ||
| + | >> 1:10 | ||
| + | |||
| + | ans = | ||
| + | |||
| + | 1 2 3 4 5 6 7 8 9 10 | ||
| + | |||
| + | >> x = 4:7 | ||
| + | |||
| + | x = | ||
| + | |||
| + | 4 5 6 7 | ||
| + | |||
| + | </code> | ||
| + | |||
| + | You can also specify a **step** or **increment** between the elements using the syntax ''m:step:n''. For example, ''5:2:17'' will produce a vector of odd integers between 5 and 17. | ||
| + | |||
| + | <code> | ||
| + | >> x = 5:2:17 | ||
| + | |||
| + | x = | ||
| + | |||
| + | 5 7 9 11 13 15 17 | ||
| + | </code> | ||
| + | |||
| + | Lastly, the colon operator works with nonintegers, too. E.g. | ||
| + | |||
| + | <code> | ||
| + | >> x = 0:0.1:0.7 | ||
| + | |||
| + | x = | ||
| + | |||
| + | 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 | ||
| + | </code> | ||
| + | |||
| + | |||
| + | |||
| + | ===== Supplemental material ===== | ||
| + | |||
| + | [[https://www.youtube.com/watch?v=zXP_pr7np-o | ' (apostrophe), Frank Zappa (the song)]] | ||
| - | [[https://www.youtube.com/watch?v=zXP_pr7np-o | ' (apostrophe), Frank Zappa]] | + | [[https://www.youtube.com/watch?v=kQDp2425WQ0&list=PL8WvZFiJpAr29HFJkRcE4NvWCeYy3ytte | ' (apostrophe), Frank Zappa (full album) ]] |
gibson/teaching/spring-2016/math445/lecture/vectors.1453917696.txt.gz · Last modified: 2016/01/27 10:01 by gibson
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 3.0 Unported
