Scilab/C2/Matrix-Operations/Khasi

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Time Narration
00:02 Ngi pdiangsngewbha ia phi sha ka spoken tutorial halor ka Matrix Operations.
00:06 Ha kaba kut jong kane ka spoken tutorial , phin sa lah ban:
00:10 * Access ia ki elements jong ka Matrix.
00:13 * Ban pynioh ia u determinant , inverse bad eigen values jong ka matrix.
00:18 * Define special matrices.
00:22 * Ban leh ia ka elementary row operations.
00:25 * Solve ia ka system jong ki linear equations.
00:28 Ki jingdonkam ba hashwa kane kidei:
00:30 Scilab dei ban install ha ka system jong phi.
00:34 Phi dei ban dep sngap ia ka Spoken Tutorial: Getting started with Scilab bad Vector Operations.
00:42 Nga pyndonkam da ka Windows 7 operating system bad Scilab 5.2.2 na ka bynta kane ka jingbatai.
00:50 Plie ia ka Scilab da ka nion arsien ha u Scilab ikon ba don ha ka desktop jong phi.
00:59 La ai jingmut ba u nongpyndonkam udei ban pyrshang ia kane ka jinghikai ha ka Scilab ha kajuh kapor da kaba sangeh ia ka video ha ki por ba donkam.
01:08 Kynmaw ba ha ka Spoken Tutorial: Vector Operations,
01:12 Matrix E la dep define kum E E is equal to open square bracket 5 space 19 space 15 semicolon 8 space 22 space 36 khang noh ia u square bracket bad shon Enter.
01:37 To ngin peit mynta kumno ban address ia iwei iwei i element jong ka matrix, la ka jong.
01:42 Ban access ia u element ha ka row ba nyngkong bad column ba ar, type E into bracket 1,2 bad nion Enter.
01:56 Ka long kaba suk ban extract ia baroh kawei ka row lane baroh kawei ka column jong ka matrix ha ka Scilab.
02:03 Kum ka nuksa, ka row banyngkong jong u E lah ban ioh da kaba pyndonkam ia kane ka command harum: E1 = E into bracket 1 comma colon bad shon Enter.
02:23 Ka command ka pynphai ia baroh ki elements jong ka row banyngkong, katkum ka jingpaw jong ki ha ka row.
02:30 “Colon ”, haba pyndonkam marwei, ka thew sha baroh ki elements jong ka row lane column, katkum ka kyndon la ka paw kum ka entry banyngkong ne ba ar hapoh u bracket.
02:44 Kumjuh ruh, kano kano ka subset jong ka matrix lah ban extract da kaba pyndonkam ia u colon (“:”).
02:49 Kum ka nuksa, ka set jong ki elements ba sdang naduh column ba ar shaduh ba lai jong E lah ban ioh da kaba pyndonkam ia kane ka command harum:
03:00 E2 = E of colon comma 2 colon 3 khang noh ia u bracket and bad shon Enter.
03:18 Hangtei hajrong, u entry ba ar ha u bracket, kata, "2 colon 3" u pynlong ia u reference sha ki elements naduh column 2 haduh column 3.
03:28 lada ngim pat tip ia ka size jong ka matrix, $ (dollar ) symbol lah ban pyndonkam ban extract ia ka row ba khatduh lane column jong kata ka matrix.
03:38 Kum ka nuksa ban extract ia baroh ki rows jong ka column bakhatduh jong ka matrix E, ngin type
03:46 Elast col= E into brackets colon comma dollar sign khang noh ia u bracket bad shon Enter.
04:06 Mynta , to ngin pule kumno ban calculate ia u determinant jong ka square matrix da kaba pyndonkam ia ka command “det”
04:13 Kynmaw ba ha ka Spoken Tutorial, “Vector Operatons”, ngi la define A kum
04:19 A = open square bracket 1 space 2 space minus 1 semicolon -2 space - 6 space 4 semicolon -1 space -3 space 3 khang noh ia u square bracket bad shon Enter.
04:50 To ngin calculate ia u determinant jong u A da ka command “det of A” bad shon Enter.
05:00 Ban calculate ia ka “inverse” bad ia ki “eigen values” jong ka matrix , ki commands “inv” bad “spec” lah ban pyndonkam .
05:09 Kum ka nuksa: inv of A ka ai ia u inverse jong u A bad spec of A ka ai ia ki eigen values jong ka matrix A.
05:29 Peit help spec ban iohi kumno ba ki eigen vectors lah ban ioh da kaba pyndonkam ia kane ka command.
05:35 Square lane cube jong ka square matrix A lah ban calculate da kaba shu type A square lane A cube .
05:52 U dak caret la ju pyndonkam ban kyntiew ia ka matrix sha power, kum ha ki arithmetic operations ba suk. Ha ka keyboard jong ngi, ngi ioh da kaba nion shift+6.
06:05 Sngewbha sangeh ia kane ka jinghikai mynta bad pyrshang ban leh ia ka exercise ba nyngkong ba la ai ha ka video.
06:17 Katto katne ki matrices ba kham kyrpang lah ban create ha ka Scilab.
06:24 Kum ka nuksa, ka marix badon zeros ryngkat 3 tylli ki rows bad 4 tylli ki columns lah ban create da kaba pyndonkam ia ka zeros command
06:36 zeros into bracket 3 comma 4 bad shon Enter.
06:47 Ka matrix jong baroh ki ones lah ban create da ka ones command kumne harum:
06:53 ones into bracket 2 comma 4 ka ai ia ka matrix jong baroh ki ones.
07:01 Ka long kaba suk ban create ia ka identity matrix da kaba pyndonkam ia ka eye command:
07:07 ' e y e' of 4 comma 4 ka ai ia ka 4 by 4 identity matrix.
07:16 U nongpyndonkam u lah ban donkam ia ka matrix ba don ki pseudo random numbers. Lah ban pynmih da kaba pyndonkam ia ka rand command kumne harum:
07:25 p=rand into bracket 2, 3 bad shon Enter
07:39 Ha ki linear systems, kawei na ki set jong ki operations ba donkam ba u nongpyndonkam u ju leh ha ki matrices kidei ki elementary row bad column operations.
07:55 Kine ki operations ki kynthup ia kaban execute ia ki row operations ha ka matrix ban pynlong ia ki entries hapoh u non zero number sha zero. Kane lah ban leh da kaba suk bha ha Scilab.
08:07 Kynmaw ba ha ka Spoken Tutorial Vector Operations, ngi lah defined ia ka matrix P kumne harum:
08:17 P = open square bracket 1 space 2 space 3 semicolon 4 space 11 space 6 Khang noh ia u square bracket bad shon Enter.
08:33 To ngin leh ia kawei ka nuksa ha kaba u element ha ka row ba ar, column ba nyngkong u dei ban pynkylla sha zero da kaba pyndonkam ia ka elementary row bad column operation.
08:44 Kane ka operation lah ban execute da kaba multiply ia ka row banyngkong da 4 bad subtract ia ka na ka row ba ar kum ha kane ka command harum:
08:56 P into bracket 2 comma colon is equal to P into bracket 2 comma colon minus 4 multiplied by P into bracket 1 comma colon bad shon Enter.
09:28 Ka rukom lah ban pyniar sha ki systems baheh bad sha kiwei ki bynta jong ka elementary column operations.
09:35 Rows bad columns lah ban append da kaba suk sha ki matrices.
09:39 Kum ka nuksa, ban append ia ka row ba don ia ki elements [5 5 -2] sha P, la pyndonkam ia ka command harum
09:48 T = open square bracket P semicolon, open sa uwei u square bracket thoh ia ki elements 5 5 -2 khang noh baroh artylli ki square brackets bad shon Enter.
10:14 U semicolon hadien u P ki pynshai ba uei uei hadien jong u udei ban leit sha ka row ba bud.
10:20 Kane la khimhlynti ha ka rukom ba ka matrix la defined.
10:24 Kum ka kam , sngewbha sangeh hangne bad check lada ki brackets sawdong ka row ba thymmai, ha ka command ba dang shu dep execute, ki donkam shisha.
10:34 Matrix notations la pyndonkam ha ka por ba solve ia ki equations.
10:40 To ngin solve ia ka set jong ki linear equations ba la ai harum:
10:44 x1 + 2 x2 − x3 = 1
10:48 −2 x1 − 6 x2 + 4 x3 = −2
10:54 bad − x1 − 3 x2 + 3 x3 = 1
11:00 Ka set jong ki equations hajrong lah ban thoh ha ka form Ax = b
11:05 Ka solution la ai kum ka inverse of A times b.
11:11 To ngin solve ia ka set of equations.
11:15 A la defined kum A = open square bracket 1 space 2 space -1 semicolon -2 space -6 space 4 semicolon -1 space -3 space 3 khang noh ia u square bracket bad shon Enter.
11:46 B lah ban define kum b is equal to square bracket 1 semicolon -2 semicolon 1 khang noh ia u square bracket bad shon Enter.
12:04 Ka solution ,x,lah ban ioh da kaba pyndonkam x = inv of A multiplied by b.
12:19 Ka long kaba biang ban buh jingmut ba udei u dak rit ‘i’ ha ka command, “inv”
12:26 Ha kawei pat ka bynta, kajuh ka result lah ban ioh da kaba pyndonkam ia u backslash operation ha Scilab.
12:33 To ngin leh ia kane ha Scilab: x is equal to A backslash b bad shon Enter.
12:44 Ka ai ia kajuh ka result . Type help backslash bad help inv ha ka Scilab ban tip kham bun shaphang ki jingmyntoi bad jingduhnong ba shimet jong ki.
12:55 Ka integrity jong ka solution lah ban pynshisha da ka back substitution, kata da kaba calculate Ax-b:
13:05 A multiplied by x minus b.
13:10 Ka exercise ba hajrong ka pynshisha ia ka result ba la ioh hashwa.
13:14 Lah ban long ba ha ki katto katne ki systems ka jingpynshisha ba la leh hajrong kam pynmih ia ka matrix kaba dei kajuh bad ki elements jong ka namar ka intermediate floating point operations.
13:27 Wat la katta, yn sa ioh ia uwei u number ba kham rit bha, uba dei jong ka order of 10 raised to -16.
13:34 Sngewbha sangeh ia kane ka tutorial mynta bad leh ia ka exercise ba ar ba la ai ha ka video.
13:49 Da kane ngi la poi sha kaba kut jong kane ka spoken tutorial halor ka MatrixOperation.
13:53 Kidon shibun kiwei pat ki functions ha ka Scilab kiba ngin sa leh ha kiwei pat ki spoken tutorials.
13:59 Iai peit ia ki Scilab links.
14:02 Ha kane ka jinghikai , ngi la pule
14:04 * Ban access ia u element jong ka matrix da kaba pyndonkam ia u colon operator.
14:07 * Ban calculate ia ka inverse jong ka matrix da kaba pyndonkam ia ka inv command lane backslash.
14:14 * Calculate ia u determinant jong ka matrix da kaba pyndonkam det command.
14:18 * Calculate ia ki eigen values jong ka matrix da kaba pyndonkam ia ka spec command.
14:23 Define ia ka matrix kaba don ia ki elements one, Null Matrix, Identity matrix bad ka matrix bad ki random elements da kaba pyndonkam ia ki functions ones(), zeros(), eye(), rand().
14:39 Solve ia ki system jong ki linear equations.
14:42 Ia kane ka spoken tutorial:: la shna da ka Free and Open Source Software in Science and Engineering Education(FOSSEE),
14:51 Kham bun ki jingtip halor ka FOSSEE project lah ban ioh na http://fossee.in lane http://scilab.in
14:58 Bad la kyrshan da ka National Mission on Eduction lyngba ka ICT, MHRD, Sorkar India.
15:05 Na ka bynta shibun ki jingtip, sngewbha leit sha http://spoken-tutorial.org/NMEICT-Intro
15:14 Nga i Meboreen na Shillong, nga pynkut ia kane.
15:18 Khublei Shibun ia ka jingsnohkti lang jong phi.

Contributors and Content Editors

Meboreen Mary