View source for Scilab/C4/Linear-equations-Gaussian-Methods/Khasi

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|'''Time'''
|'''Narration'''
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| 00:01
|Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka '''Solving System of Linear Equations using Gauss Elimination and Gauss-Jordan Methods'''.
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| 00:12
| Ha kaba kut jong kane ka jinghikai, phin sa nang kumno ban:
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|00:15
| Solve ia ki system jong ki linear equations da kaba pyndonkam ia ka  '''Scilab'''
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|00:20
| Develop '''Scilab''' code ban solve linear equations.
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| 00:25
| Ban record ia kane ka jinghikai, nga pyndonkam da ka 
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|00:27
|'''Ubuntu 12.04''' kum ka operating system
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| 00:31
| Ryngkat bad ka '''Scilab 5.3.3''' version.
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| 00:36
| Ban pyrshang ia kane ka jinghikai, u nongpule udei ban don ia ki jingtip ba donkam jong ka '''Scilab'''
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|00:40
| Bad dei ban tip kumno ban solve '''Linear Equations.'''
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|00:45
| Ban pule ia ka '''Scilab''', sngewbha leit sha ki jinghikai ba iadei ba don ha ka '''Spoken Tutorial''' website. 
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| 00:52
| Ka system jong ki '''linear equations''' kadei ka
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| 00:55
| Jinglum ryntih jong ki '''linear equations''' jong kajuh ka set jong ki '''variables'''.
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|01:00
| To ngin pule ia ka '''Gauss elimination method'''.
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|01:04
|La ai ia ki system jong ki equations
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|01:06
|'''A x equal to b''' 
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|01:08
| Ryngkat bad '''m''' equations bad
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|01:10
|'''n''' unknowns. 
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| 01:12
| Ngi thoh ia ki coefficients jong ki '''variables a one''' shaduh '''a n'''
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| 01:16
|Ryngkat bad ki '''constants b one''' shaduh  '''b n ''' jong ki system of equations 
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| 01:22
|I ha kawei ka '''matrix''' la khot ka  '''augmented matrix'''.
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|01:27
|Kumno ngi convert ia ka '''augmented matrix''' sha ka '''upper triangular form matrix?'''
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|01:33
| Ngi leh ia ka da kaba leh ia ka row wise manipulation jong ka '''matrix.'''
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|01:40
| To ngin solve ia kane ka system jong ki equations da kaba pyndonkam ia ka '''Gaussian elimination method'''.
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|01:45
| Shwa ban solve ia ka system, to ngin iaid lyngba jong u code na ka bynta ka '''Gaussian elimination method.'''
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|01:52
|| Ka lain banyngkong jong u code kadei ka '''format e comma twenty.'''
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|01:58
|Kane ka define katno tylli ki digits dei ban pyni ha ka jubab.
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| 02:04
| U dak 'e' hapoh single quotes u thew ba ia ka jubab dei ban pyni ha ka '''scientific notation'''. 
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| 02:12
||The number '''twenty''' is the number of digits that should be displayed. 
U number '''twenty''' udei u number jong ki digits ba hap ban pyni.
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|02:17
|| Ka command '''funcprot''' la ju pyndonkam ban ailad ia ka  '''Scilab''' ban tip kaei dei ban leh haba ia ki variables la define biang.
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|02:26
| U argument '''zero''' u batai ba ka '''Scilab''' kam donkam  ban leh eiei lada ia ki variables la define biang.
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|02:33
| Kiwei ki arguments la pyndonkam ban ai ia ki jingmaham lane ki errors lada ia ki variables la define biang.
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| 02:40
||Nangta ngi pyndonkam ia ka '''input''' function.
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| 02:43
|Kan pyni ia ka message sha u user bad pynioh ia ki values jong  '''A''' bad '''b''' matrices.  
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|02:51
| Ka message ka dei ban don hapdeng ki '''double quotes.''' 
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|02:55
| Ki matrices kiba u user u pyndap, yn sa buh ha ki variables '''A''' bad '''b.'''  
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| 03:02
| Hangne '''A''' udei u '''coefficient matrix''' bad '''b''' kadei ka matrix liang kamon lane ki '''constants matrix.''' 
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| 03:11
|Nangta define ia ka function '''naive gaussian elimination.'''
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| 03:15
| Bad ngi ong ba '''A''' bad '''b''' kidei ki '''arguments''' jong ka function '''naive gaussian elimination.''' 
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| 03:22
| Ngi buh ia ka output ha u variable '''x.'''
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|03:27
| Nangta ngi wad ia ka size jong ki matrices '''A''' bad '''b''' da kaba pyndonkam ia ka ''' size''' command.
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| 03:34
| Namar ba kidei ki artylli ki dimensional matrices , ngi pyndonkam '''n''' bad '''n one''' ban buh ia ka size jong ka matrix '''A.'''
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| 03:42
| Ha kajuh ka rukom ngi lah ban pyndonkam '''m one''' bad '''p''' na ka bynta ka matrix '''b.''' 
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| 03:48
||Nangta ngi hap ban pynshai lada ki matrices kidei compatible iwei bad iwei pat bad
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|03:53
|| Lada '''A''' kadei ka '''square matrix.'''
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| 03:57
|  Lada '''n''' bad '''n one''' kim iaryngkat nangta ngi pyni ia ka message ba '''Matrix A must be square.''' 
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| 04:05
|Lada '''n''' bad '''m one''' kim iaryngkat , ngi pyni ia ka message
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|04:10
| '''incompatible dimension of A and b.''' 
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| 04:15
| Lada ki matrices ki long compatible, ngi buh ia ki matrices '''A''' bad '''b''' ha kawei ka matrix, '''C.''' 
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|04:23
||Kane ka matrix '''C''' la khot ka '''augmented matrix. '''
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|04:28
| Ka block jong u code kaba bud ka leh ia ka '''forward elimination.''' 
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| 04:32
| Une u code u pynkylla ia ka '''augmented matrix to upper triangular matrix''' form.
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| 04:39
| Khatduh eh , ngi leh ia ka '''back substitution.'''
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| 04:42
| Shisien ba ka '''upper triangular matrix''' la ioh, ngi shim ia ka row ba khatduh bad wad ia u value jong ka varible ha kata ka row.
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| 04:52
| Nangta shisien ba uwei u variable la solve, ngi shim ia une u variable ban solve ia kiwei pat ki variables.
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| 04:59
|| Kumta ka system jong ki '''linear equations''' la solve. 
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| 05:03
|| To ngin save bad execute ia ka file.
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| 05:06
|| Phai sha ka '''Scilab console''' ban solve ia ka nuksa.
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| 05:10
| Ha ka '''console,''' ngi don ia u prompt ban pyndap ia u value jong u '''coefficient matrix.''' 
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| 05:17
| Te ngi pyndap ia ki values jong ka '''matrix A.'''
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|05:20
|Type: '''square bracket three point four one space one point two three space minus one point zero nine semi colon '''
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|05:33
| '''two point seven one space two point one four space one point two nine semi colon '''
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| 05:41
| '''one point eight nine space minus one point nine one space minus one point eight nine close square bracket.''' 
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|05:53
|| Nion '''Enter'''.   U prompt ba bud udei na ka bynta ka '''matrix b.'''
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| 05:57
|Te ngi type '''open square bracket four point seven two semi colon three point one semi colon two point nine one close square bracket.'''
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| 06:10
| Nion '''Enter'''.
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| 06:13
| Nangta ngi call ia ka function da kaba type
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| 06:16
| '''naive gaussian elimination open parenthesis A comma b close parenthesis '''
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| 06:24
| Nion '''Enter'''.
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| 06:26
| Ka solution sha ka system jong ki linear equations la pyni ha ka '''Scilab console.'''
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| 06:32
| Kaba bud ngin sa pule ia ka '''Gauss-Jordan method.'''
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| 06:36
|Ha ka '''Gauss–Jordan Method''',
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| 06:38
|Ka kyrdan ba nyngkong kadei ban pynlong ia ka '''augmented matrix.'''
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| 06:42
| Ban leh ia kane, buh ia u coefficient jong '''matrix A''' bad ka liang kamon '''matrix b''' hajuh ha kawei ka '''matrix.'''
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| 06:50
| Nangta ngi leh ia ki '''row operations''' ban pynkylla ia ka '''matrix A ''' sha ka diagonal form.
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| 06:56
| Ha ka diagonal form, tang ki elements '''a i i '''  kidei non-zero. Kiwei pat ki elements basah kidei zero.
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| 07:05
| Nangta ngi phiah ia u diagonal element bad u element ba iadei jong u element ka liang kamon , da u diagonal element.
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| 07:14
| Ngi leh ia kane ban ioh '''diagonal element''' ba iaryngkat bad one.
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| 07:19
| U resulting value jong ki elements jong man kawei ka row jong ka matrix liang kamon u ai ia u value jong man uwei u variable.
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| 07:27
| To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka '''Gauss-Jordan Method.''' 
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| 07:33
| To ngin peit nyngkong ha u code.
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| 07:36
| Ka  lain banyngkong jong u code ka pyndonkam ia ka '''format function''' ban batai ia ka format jong ki jubab ba la pyni.
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| 07:44
| U parameter e u batai ba ka jubab kadei ban don ha ka '''scientific notation.'''
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| 07:49
|'''Twenty (20)''' u thew ba tang '''twenty digits''' dei ban pyni.
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| 07:55
| Nangta ngi ioh '''A''' bad '''b matrix''' da kaba pyndonkam ia ka '''input''' function.
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| 08:00
| Ngi define ia ka function '''Gauss Jordan Elimination''' ryngkat bad ki input parameters '''A''' bad '''b''' bad u output argument .
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| 08:11
| Ngi ioh ia ka size jong ka '''matrix A''' bad buh ia ka ha '''m''' bad '''n'''.
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| 08:17
| Ha kajuh ka rukom, ngi ioh ia ka size jong ka '''matrix b''' bad buh ia ka ha '''r''' bad '''s'''.
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| 08:23
| Lada ki size jong '''A''' bad '''b''' kim iabiang, ngi pyni ia ka error ha ka '''console''' da kaba pyndonkam ia ka '''error function.''' 
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| 08:33
| Nangta ngi leh ia ki '''row operations''' ban ioh ia ka diagonal form jong ka '''matrix.'''
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| 08:38
| Hangne '''pivot''' ka thew sha u non-zero element ba nyngkong jong ka '''column.'''
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| 08:45
| Nangta ngi shna ia ka '''matrix''' jong ki '''zeros''' ba la khot '''x'''ryngkat  '''m''' rows bad '''s columns.'''
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| 08:52
| Shisien ba ngi la don ia ka diagonal form,
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| 08:54
| Ngi divide ia ka liang kamon jong ka '''augmented matrix'''   da ka '''diagonal element''' ba iadei ban ioh ia u value jong man uwei u variable.
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| 09:04
| Ngi buh ia u value jong man uwei u variable ha '''x.'''
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| 09:08
| Nangta ngi return ia u value jong u  '''x.'''
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| 09:11
| Khatduh eh ngi '''end''' ia ka function.
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| 09:13
| Mynta to ngin save bad execute ia ka function.
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| 09:18
| U prompt u donkam na ngi ban pyndap ia u value jong ka '''matrix A.'''
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| 09:22
|Te ngi type '''open square bracket zero point seven comma one seven two five semi colon'''
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| 09:31
|'''zero point four three five two comma minus five point four three three close square bracket.'''
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| 09:41
| Nion '''Enter'''.
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| 09:43
| Ka prompt kaba bud kadei na ka bynta '''vector b. '''
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| 09:45
| Te ngi type '''open square bracket one seven three nine semi colon'''
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| 09:51
|'''three point two seven one close square bracket'''. 
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| 09:55
| Nion '''Enter'''.
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| 09:58
| Nangta ngi call ia ka function da kaba type
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| 10:01
|'''Gauss Jordan Elimination open parenthesis A comma b close parenthesis '''
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| 10:08
| Nion '''Enter'''.
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| 10:10
| Ki values jong '''x one''' bad '''x two''' la pyni ha ka '''console. '''
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| 10:15
| To ngin batai kyllum.
|-
| 10:18
| Ha kane ka jinghikai, ngi la dep pule ban 
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| 10:21
| Develop '''Scilab''' code na ka bynta ban solve ia ka system jong ki  '''linear equations'''.
|-
|10:25
| Wad ia u value jong ki unknown variables jong ka system jong ki '''linear equations'''. 
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|10:32
|Peit ia ka video ba don ha ka link ba la pyni harum.
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| 10:35
|Ka kyllum lang ia ka Spoken Tutorial project.
|-
|10:38
|| Lada phim don ia ka bandwidth babiang, phi lah ban shu download bad peit ia ka.
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|10:43
|| Ka kynhun jong ka Spoken tutorial project
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|10:45
||Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
|-
|10:48
|| Ka ai certificates sha kito kiba pass bha ha ka online test.
|-
|10:52
||Na ka bynta kham bun ki jingtip, sngewbha thoh sha ka contact@spoken-tutorial.org.
|-
|10:59
| Spoken Tutorial Project kadei  shibynta jong ka Talk to a Teacher project.
|-
| 11:03
| La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT, MHRD, Government of India. 
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| 11:10
| Kham bun ki jingtip halor kane ka mission kidon ha http://spoken-tutorial.org/NMEICT-Intro.
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| 11:21
| Nga i Meboreen na Shillong , nga pynkut ia kane.
|-
|11:23
| Khublei Shibun ia ka jingsnohkti lang jong phi.