s3a
  • s3a
Basis for the column space of A problem: For #3(a) [ http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/ax-b-and-the-four-subspaces/exam-1/MIT18_06SCF11_ex1s.pdf ], how did the solution go from U to R? when c != 3
Linear Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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s3a
  • s3a
It seems c was chosen to be 4 but why?
anonymous
  • anonymous
divide the second row by (c-3)
anonymous
  • anonymous
subtract row2 from row1

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anonymous
  • anonymous
and so on..
anonymous
  • anonymous
c was not chosen to be 4
s3a
  • s3a
I get this: http://i.imgur.com/RIZgXlJ.jpg
s3a
  • s3a
with what you said
anonymous
  • anonymous
good :)
s3a
  • s3a
Wait, I think we're miscommunicating. I meant that as in I did what you said and there are still "c"s floating around.
anonymous
  • anonymous
well subtract (-4/(c-3))(row3) from row2 and subtract (2+4/(c-3))(row3) from row1
anonymous
  • anonymous
i think you should look again row reduced echelon form
s3a
  • s3a
but wouldn't that have the position which currently has the leading ones' with "c"s?
s3a
  • s3a
Also, sorry for being slow right now, my brain is being overworked and I can't take a break because I have exams.
anonymous
  • anonymous
no it won't
anonymous
  • anonymous
look at the picture you uploaded
anonymous
  • anonymous
row 3 is 1 1
s3a
  • s3a
OH!
anonymous
  • anonymous
to get the row reduced echelon form, you will make everything zero above pivots right?
s3a
  • s3a
Yes, I see it. :D Let me just confirm, I get the same answer.
anonymous
  • anonymous
well since row3 is 1 1 it will remove same things above ok i see you got it
s3a
  • s3a
I've confirmed that I got it. :D Thanks a lot.
s3a
  • s3a
!
s3a
  • s3a
"row 3 is 1 1" is what made me see it instantly.
s3a
  • s3a
(Just saying.)
anonymous
  • anonymous
good luck on your exam! :)
s3a
  • s3a
Thanks. :)
s3a
  • s3a
(Also, good luck on yours if you have any.)
s3a
  • s3a
Actually, I have another question. Why does it matter what c is equal to if it dissapears thanks to elimination? (Sorry if that's a dumb question.)

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