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# Assignment # 3 (Lecture# 17 - 22)  MTH501 (Spring 2014)

Maximum Marks: 30

Due Date: June 30, 2014

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Question: 01                                                                                                                            Marks: 10

Without expansion (until you reduce it to  order), by using the properties of Determinants, show that

Question: 02                                                                                                                             Marks: 10

Show that the vectors  and  in  are Linearly Dependent over Field  but Linearly Independent over , where  .

Question: 03                                                                                                                           Marks: 10

Let  be an  matrix. Then Show that the set,  is a Subspace of  .

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### Replies to This Discussion

Q's 1

kisi chiz ko expand ni kerna ha. is ka bbhatr hal ha Echlon form ma la ker.. wo property lagai jay lhika b hua ha expention ni kerni.. phela word he yhi ha without Expention .. phr.. Column ko expand ku ker ray ho ap sab :@

ap expand krna kis ko keh rhay hein..don't know..as i read, we can not use cofector n minor method..which is called expansion.

Also read the 2nd part of the Question, reduce it to 2x2 By using the properties of Determinents..

http://www.mhhe.com/math/precalc/barnettcat7/graphics/barnett07cat/ch10/others/bar68691_ch10-05.pdf

according to its  Rabia Method is correct..no doubt ans is not correct but she really good attempted with Correct Method..

this one file is given By Instructor to understanding 1st Question.

bhai agar expend ni kry gy to 2x2 metrik kaisy bany gi

Rabia very gud effort..

plz koi 2nd or 3rd q ka solution ka ans day day

PLzzzz koi solution upload kar day.plzzz mth501 ki assignment ka

but rabia ap to exansion kr rhiho us ne question me to kaha he without expansion..:(

ye echln form put kr skty any body can tell me

yes ker sakty ha.... yar 2,3 ka idea do zera.. ya koi idea share kero PLZ.. #sherii

yes echelon form hi use karni hai...

ist q hai , type ki ahua ,

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