Scilab/C2/Vector-Operations/English-timed
From Script | Spoken-Tutorial
Time | Narration |
00:01 | Welcome to the spoken tutorial on Vector Operations |
00:07 | At the end of this spoken tutorial you will be able to, |
00:11 | Define a vector. |
00:13 | Calculate length of a vector. |
00:15 | Perform mathematical operations on Vectors such as addition,subtraction and multiplication. |
00:23 | Define a matrix. |
00:25 | Calculate size of a matrix. |
00:28 | Perform mathematical operations on Matrices such as addition, subtraction and multiplication. |
00:36 | The Pre-requisites are Scilab should be installed on your system. |
00:41 | You should have listened to the Spoken Tutorial on Getting started with Scilab. |
00:46 | You should have Basic knowledge about Vectors and Matrices. |
00:50 | I am using Windows 7 operating system and Scilab 5.2.2 for demonstration. |
00:58 | Click on Scilab shortcut icon on your Desktop to launch Scilab. |
01:03 | This will open the Scilab console window. |
01:06 | Notice that the cursor is on the command prompt. |
01:10 | I suggest that you practice this tutorial in Scilab simultaneously while pausing the video at regular intervals of time. |
01:19 | Let us start by defining a vector. |
01:22 | This can be done in two ways: |
01:24 | By using spaces as p is equal to open square bracket one space 2 space 3 close the square bracket and press enter. |
01:37 | or using commas as q is equal to open square bracket two comma three comma four close the square bracket and press enter. |
01:53 | We can find the length of a vector p by the command length of p and press enter |
02:03 | We can perform various mathematical operations on vectors such as |
02:08 | Addition of two vectors |
02:11 | Substraction of two vectors and so on. |
02:14 | Transpose of a vector can be found by using apostrophe (also known as single-quote). |
02:21 | p transpose is as shown |
02:27 | We can calculate p-transpose times q: |
02:34 | The command p times q-transpose gives a scalar: |
02:43 | Please pause the tutorial now and attempt exercise number one given with the video |
02:50 | Now we will see how to define a matrix. |
02:56 | Elements of a row of a matrix, can be defined using spaces or commas similar to that shown for a vector |
03:04 | For example,let us define a 2 by 3 matrix P by typing captital P is equal to open square bracket 1 space 2 space 3 semicolon |
03:20 | 4 space five space 6 close the square bracket and press enter. |
03:27 | Note that Semicolon is used for defining the next row of the matrix. |
03:32 | Recall that Scilab is case sensitive. |
03:34 | Here variable P used to define matrix is in upper case. |
03:40 | Which is different from small p that was a vector. |
03:44 | Would you want to check what small p is at this point? |
03:48 | We will now see how to find the size of a Matrix using the “size” command. |
03:53 | for this type open square bracket row comma column close the sqaure bracket is equal to size of capital p which is matrix and press enter. |
04:10 | You get the following output. |
04:17 | Note that the length command will give the total number of elements in the matrix as you see. |
04:27 | The transpose command works for the matrices as well as shown here : |
04:34 | p transpose gives the transpose of matrix p. |
04:41 | Let us now define a 2 by 3 matrix Q: |
04:45 | Capital q is equal to open square bracket one space five space three semicolon to enter into the next row |
04:56 | Two space four space eight close the square bracket and press enter. |
05:03 | Let us also recall P once more: |
05:08 | We can carry out calculations involving P and Q, just as we do in mathematics. |
05:14 | For example, let us calculate E is equal to 2 times p plus 3 times q and press enter: |
05:29 | You may want to verify whether these calculations are correct. |
05:33 | Please pause the tutorial now and attempt exercise number two given with the video |
05:44 | In this tutorial, we have learnt to |
05:47 | Define a vector using spaces or commas. |
05:50 | Calculate length of a vector using the length() function. |
05:54 | Find the transpose of vector or matrix using apostrophe. |
05:59 | Define a matrix by using space or comma to separate the columns and semicolon to separate the rows. |
06:07 | Find size of a matrix using size() function. |
06:11 | This spoken tutorial has been created by the Free and Open Source Software in Science and Engineering Education (FOSSEE). |
06:18 | More information on the FOSSEE project could be obtained from fossee.in or scilab.in |
06:28 | Supported by the National Mission on Eduction through ICT, MHRD, Government of India. |
06:33 | For more information, visit:spoken hyphen tutorial dot org slash NMEICT hyphen intro. |
06:43 | This is Anuradha Amrutkar signing off. |
06:46 | Thank you for joining us. Good bye |
Contributors and Content Editors
Gaurav, Jyotisolanki, Krupali, PoojaMoolya, Sandhya.np14, Sneha