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Mathematics 56 Online
OpenStudy (bahrom7893):

I need help again with linear algebra. Satellite if you are on some easy question, forward me there and take a look at this. This goes for anyone who knows linear algebra, PLEASE!

OpenStudy (bahrom7893):

Here is the question

OpenStudy (anonymous):

I don't think that's so bad.

OpenStudy (anonymous):

Just show they are equal.

OpenStudy (bahrom7893):

show what's equal?

OpenStudy (anonymous):

Shoot, I gotta go look at my book.

OpenStudy (anonymous):

Ok which book are you using?

OpenStudy (bahrom7893):

this is not from the book but we're using matrix analysis and applied lin algebra by Meyer

OpenStudy (anonymous):

U = u1 u2 u3 u4

OpenStudy (anonymous):

and V is similar

OpenStudy (anonymous):

U times V equals u1v1 + u2v3 , etc...

OpenStudy (anonymous):

in your case A and B not U and V sorry

OpenStudy (anonymous):

you follow so far? just basic matrix multiplication

OpenStudy (bahrom7893):

yes

OpenStudy (anonymous):

ok, so if you take the inner product of A and B, it's just like matrix multiplication

OpenStudy (anonymous):

and if you take the trace of A^TB, you should get the same answer

OpenStudy (anonymous):

because if you take the inner product of AB, you'll get a1b1 + a2b2 etc

OpenStudy (anonymous):

Um..think you have to do the same thing as on that other question, prove the 3 or 4 definitions, positivity etc.

OpenStudy (bahrom7893):

actually that's what im doing right now estudier.. proving the 3 definitions..

OpenStudy (anonymous):

and if you take the trace of A^TB, you are just adding up the diagonal entries of the product of A^TB

OpenStudy (bahrom7893):

<A|A> is greater than or equal to 0 <A|A> = 0 iff A = 0

OpenStudy (anonymous):

I love linear algebra.

OpenStudy (bahrom7893):

I hate it.. I loved ODE!

OpenStudy (anonymous):

ODE were so boring to me.

OpenStudy (anonymous):

I love vector algebra and vector spaces and get along quite nicely without linear algebra (ie the basis, matrix, proving stuff).

OpenStudy (anonymous):

All those formulas, no proofs. Ugh.

OpenStudy (bahrom7893):

See I love formulas, I hate proofs lol we're opposite..

OpenStudy (anonymous):

Well, I'm a math major, so I like to know the why.

OpenStudy (anonymous):

Especially when the proofs are of the A = A variety...:-)

OpenStudy (anonymous):

usually with the A=A variety, it's just something simple, but we overthink it.

OpenStudy (bahrom7893):

I'm a math major too..

OpenStudy (bahrom7893):

don't know why i picked it.. i mean for me it was the fastest way to get outa college..

OpenStudy (anonymous):

Well, good luck. :)

OpenStudy (bahrom7893):

thanks =)

OpenStudy (bahrom7893):

u 2!

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