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Topic: Failing Linear Algebra:
Replies: 54   Last Post: Jan 10, 2007 12:47 PM

 Messages: [ Previous | Next ]
 David C. Ullrich Posts: 21,553 Registered: 12/6/04
Re: Failing Linear Algebra:
Posted: Apr 27, 2004 5:57 PM

On 27 Apr 2004 12:26:28 -0700, Anonymous wrote:

>[...]
>
>I've come a long way in my understanding of linear algebra using the
>guides I have, but, like I've said, I'm still really unsure what my
>problem is.

It's perfectly clear to me what the problem is. It's exactly what
I guessed, just hearing that you were doing poorly in linear
algebra - seeing your attempt at defining the two terms
"independent" and "vector space" just now I'm certain my
guess was correct.

Your problem is you don't know the defintions of the words.
You think you know what the words mean, you don't appreciate
that you need to know the _exact_ definitions, _precisely_.

There's nothing anyone can do to help you learn the definitions,
you simply have to _do_ it. _After_ you know the definitions
people can help you understand what they mean and how
they're used. But _first_ you have to _learn_ them.

> Something tells me I may just need a little more brushing
>up on a little more specific useage of the concepts, and I may be OK.
>Finding a way to solve proofs might be helpful too; this is something
>I generally suck at and not having all the concepts clearly seems to
>only make the proofs harder.

Not having the concepts clear makes the proofs _impossible_.

The next time you want to explain what linear independence means
don't say what you said in that post just now, instead say
"vectors v_1, ... v_n are independent if the only solution to
c_1 v_1 + ... + c_n v_n = 0 is c_1 = c_2 = ... = 0." You think
that's the same as what you said. It may well be the same
as what you meant, but it's _not_ the same as what you
_said_ - if you could state the definition _correctly_ you'd
have a _chance_ with the proofs.

************************

David C. Ullrich

Date Subject Author
4/22/04 Guest
4/22/04 Michael N. Christoff
1/10/07 Gerry Myerson
1/10/07 Jonathan Miller
1/10/07 Guest
1/10/07 David C. Ullrich
1/10/07 Acid Pooh
1/10/07 Guest
4/23/04 Brian Borchers
4/27/04 Guest
1/10/07 maky m.
4/26/04 David Ames
1/10/07 Guest
1/10/07 Michael Stemper
1/10/07 maky m.
4/23/04 Porker899
4/27/04 Guest
1/10/07 Abraham Buckingham
1/10/07 Mitch Harris
1/10/07 Guest
1/10/07 Grey Knight
1/10/07 Guest
1/10/07 Toni Lassila
1/10/07 Thomas Nordhaus
1/10/07 George Cox
4/28/04 Dave Rusin
4/28/04 George Cox
4/28/04 George Cox
4/29/04 Marc Olschok
4/29/04 Mitch Harris
4/29/04 Robert Israel
4/28/04 Guest
4/29/04 Guest
1/10/07 Dave Rusin