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/sci/ - Science & Math

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5518129 No.5518129 [Reply] [Original]

I have a proof in linear algebra that I'm having trouble with. It deals with decomposing matrices in to symmetric and skew symmetric matrices.

S = 1/2 (A + A^(t)) = symmetric matrix
V = 1/2 (A - A^(t)) = skew symmetric matrix

S + B = A

It ask me to prove that S = (....) is a symmetric matrix. I have no clue how to do this other than work a problem.

>> No.5518232

>>5518129
*S+V = A sorry for the confusion

>> No.5518241

>>5518129
What does it mean that it's symmetric? Try to apply this to the question.
PS. You shouldn't really need people telling you this, you might want to cut your losses and try another degree.

>> No.5518247

prove that Sij=Sji

>> No.5518255

>>5518247
For the love of god don't do this. You don't know anything about S_ij. It's much simpler than that.

>> No.5518260
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5518260

>>5518241
>someone asks a question about a first year math course
>they have to switch degrees

>> No.5518273

>>5518260
The question is just telling him to apply the definition to a simple matrix, this is absolutely trivial if you know the definition. If this is giving him trouble he's not going to stand a chance at any non-trivial questions.

>> No.5518279

>>5518273
>The question is just telling him to apply the definition to a simple matrix, this is absolutely trivial if you know the definition.
So what? It's obviously an intro course.

>If this is giving him trouble he's not going to stand a chance at any non-trivial questions.
That implies that it's impossible to learn. Fuck off retard.

>> No.5518289

>>5518279
I wasn't critiquing the content of the question, the problem was that he needed help with it.
And no, I'm saying it's impossible for him to learn if he can't solve this trivial question.

>> No.5518296

>>5518289
I never said you were critiquing the question, simply that you are judging someone's ability at the incorrect time.
> I'm saying it's impossible for him to learn if he can't solve this trivial question.
A completely baseless statement.

>> No.5518300

>>5518289
If the first thing he does when asked if a matrix is symmetric is not to transpose the matrix he is an idiot or in a severe state of mental fatigue but more likely the former.

>> No.5518306

>>5518300
Considering the definition of a symmetric matrix.

>> No.5518307

>>5518289
lol wow. I have a 3.2 GPA Junior EE. I really don't think because I was stooped by one question that I'm not capable of learning/passing the course. Say whatever makes you feel better though.

>> No.5518323

>>5518307
Your GPA is irrelevant, the triviality of the question you asked was not. Open the goddamn book before you ask for help on the internet.

>> No.5518331

>>5518273
Also, I asked if that was the formal way to prove what was asked

>>It ask me to prove that S = (....) is a symmetric matrix. I have no clue how to do this other than work a problem

I know that much. What I'm asking is if there is another formal way to do it. Lrn to comprehend idiot.

>> No.5518335

>>5518323
just shut up

>> No.5518340

>>5518296
>can't read a simple definition
Not him, but I agree. If he can't directly apply a definition he's going to fail with any later courses.

>> No.5518346

is calculus needed for lin algebra?

>> No.5518405

>>5518346
Depends on your school. I was able to take linear algebra (which is a 2nd year math course) with only calculus 1.


Can anyone give me pointers on how to write proofs? I was never formally introduced, and now that I need to write them in linear algebra I feel lost on how to actually prove things