Lets see who wants to show off their math knowledge

[Goosemaster]

Originally posted by: BornStar18

Originally posted by: BornStar18

Originally posted by: Goosemaster

Originally posted by: BornStar18

Originally posted by: nourdmrolNMT1
42.

btw, purdue math is a piece of shlt i cant stand this bullshlt teachers who cant speak english etc.

MIKE

Yeah, that was one of the reasons I quit engineering (besides the fact that it just didn't interest me). I thoroughly impressed my technology advisor (and forgot all of that math I learned on the spot).

Sorry, the furthest I got in math at Purdue is 261 and I remember exactly 0% of it.

what was 261

<---would love to go to Purdue some day

Um... That's a good question. Hold on a sec.

edit: It appears to be multivariate calculus.

link

Incidentally, as someone from VA, shouldn't you desire to attend VT?

I desire greater things for myself...near and far

 

[PurdueRy]

Originally posted by: Goosemaster

Originally posted by: rleemhui

Originally posted by: Goosemaster
I tutor linear algebra.....to 10th graders..lol

SERIOUSLY.

Null space, invertibility...all those are terms in your book...to find the eigen vecotrs you need to find the eigen values....and then you will know the dims

great...you told me things I know. I know how to find eigenvectors. This question is a bit different. and my book is open on my desk. You should know that math isn't always clear without some help.

EXACTLY. IF you had helped yourself earlier, I wouldn't be helping you right now.


what are the dims of the eigen vector matrices

Maybe I can make it easier for you. The one definition I don't understand is like this:

Let p(h) be the characteristic polynomial for a n x n matrix A and let h1,h2,...,hk be the roots of p(h). Then the dimension di of the hi-eigenspace of A is at most the multiplicity ui oh hi as a root of p(h). Thus, A is deficient if di < ui for any i.

note h=theta

Any help with the explanation of that theorem and I think I will be able to solve this problem.

 

[Goosemaster]

Originally posted by: Goosemaster
It's like A- lambda something..it's gotta be in your book

It's long winded and makes you bring back the values and vecotrs

I don't remember

 

[MikeMike]

im in 223, and well since i didnt attend class im gunna fail. and well the teacher cant speak english i hope to take math credits elsewhere and transfer them here.

MIKE

 

[chuckywang]

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is multiplicity of the root.

 

[PurdueRy]

you quoted yourself? Its not that easy to understand is it? lol

 

[Goosemaster]

The eigenspace associated with the eigenvalue c of a matrix A is the null space of A - c*I

sort of like that

 

[PurdueRy]

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

 

[PurdueRy]

oh and yeah I meant to type 10 for A in my OP

 

[chuckywang]

Originally posted by: rleemhui

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

Forget what I said about the eigenspace. I actually have no idea what it is. I can't find my old Linear Algebra book, so I can't look it up.

 

[PurdueRy]

Originally posted by: chuckywang

Originally posted by: rleemhui

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

Forget what I said about the eigenspace. I actually have no idea what it is. I can't find my old Linear Algebra book, so I can't look it up.

NP it was mainly b that confused me. The others I think I can figure out.

 

[Goosemaster]

Originally posted by: chuckywang

Originally posted by: rleemhui

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

Forget what I said about the eigenspace. I actually have no idea what it is. I can't find my old Linear Algebra book, so I can't look it up.

Same here...I actually borrowed a techers book for this class.

<---usually keeps all his textbooks....I took this class last summer

 

[PurdueRy]

Originally posted by: Goosemaster

Originally posted by: chuckywang

Originally posted by: rleemhui

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

Forget what I said about the eigenspace. I actually have no idea what it is. I can't find my old Linear Algebra book, so I can't look it up.

Same here...I actually borrowed a techers book for this class.

<---usually keeps all his textbooks....I took this class last summer

what tenth graders are taking linear? Linear is commonly taken here junior year! I took it freshman, and am retaking it sophmore.

 

[Goosemaster]

p(?i) = (?i - ?)miA s(?) for integer miA > 0 and another polynomial s satisfying s(?i) ? 0.

http://algebra.math.ust.hk/eigen/05_multiplicity/lecture2.shtml


I knew it invloved lamda

 

[chuckywang]

I took linear algebra the summer before my freshman year of college.

 

[Goosemaster]

Originally posted by: rleemhui

Originally posted by: Goosemaster

Originally posted by: chuckywang

Originally posted by: rleemhui

Originally posted by: chuckywang

Originally posted by: rleemhui
Hi all, I thought I might try out the good ol ATOT community to see if anyone wants to take a crack at this question.

I am in a advanced linear algebra course here at Purdue, after this, 2 more math classes and a math minor is mine .

Anyway

Suppose that A is a square matrix with characteristic polynomial p(h) = h^2(h+5)^3(h-7)^5

a) what is the size of A? I think I got this one...its just the total degree which is 9.

b. Can A be invertible? No idea here, need a REASON.

c. What are the possible dimensions of the nullspace of A? Again, I need a REASON along with the answer(or just some help in reaching it

d. What can you say about the dimension of the h=7 eigenspace? same as above...

Now, I am not looking to have someone do my hw for me here. I am retaking this class with the hopes of significantly improving my GPA. So far, I am doing much better(better prof). I just need help in figuring out how to solve the parts to these problems. Any guidance would be much appreciated. Thanks

a) A is a 10x10 matrix.

b) No, one of the roots of the characteristic polynomial is 0, so that means one of the eigenvalues is 0 so that means the determinant is 0. Hence, A is non-invertible.

c) I think the nullspace has dimension two since the root of the char. poly. has 0 as two of the roots.

d) I think the eigenspace of the h=7 has dimension equal to 5, since that is the order of the root.

Thank you! That is actually along the lines of what I was thinking. I still gotta find a proof for it but that gets me somewhere

Forget what I said about the eigenspace. I actually have no idea what it is. I can't find my old Linear Algebra book, so I can't look it up.

Same here...I actually borrowed a techers book for this class.

<---usually keeps all his textbooks....I took this class last summer

what tenth graders are taking linear? Linear is commonly taken here junior year! I took it freshman, and am retaking it sophmore.

Basica linear inde/dependance, matrix albegra, and some pane work is done in Algebra II. DIfferent curricculums focus on it to varying degrees, and I got stuck with students that focused heavily on it:|

 

[PurdueRy]

Originally posted by: chuckywang
I took linear algebra the summer before my freshman year of college.

that I can believe as I had friends that did that. But tenth grade seems a bit early unless its just an intro course with very very basic stuff

 

[Goosemaster]

Originally posted by: chuckywang
I took linear algebra the summer before my freshman year of college.

It's rather easy....just the terms really. I've forgotten them

 

[Goosemaster]

Originally posted by: rleemhui

Originally posted by: chuckywang
I took linear algebra the summer before my freshman year of college.

that I can believe as I had friends that did that. But tenth grade seems a bit early unless its just an intro course with very very basic stuff

aye.

 

[chuckywang]

Originally posted by: Goosemaster
p(?i) = (?i - ?)miA s(?) for integer miA > 0 and another polynomial s satisfying s(?i) ? 0.

http://algebra.math.ust.hk/eigen/05_multiplicity/lecture2.shtml


I knew it invloved lamda

Nice, well I guess that answers questions 3 and 4.

 

[PurdueRy]

haha diagonlization is next section of hw I need to do. But I just went to lecture that covered that yesterday, so that should be no problem

 

[agnitrate]

I'm responding to this thread as a Purdue math major and the comments about being unable to understand your professors. I've had nothing but excellent math professors here. Ok, well except for Linear Algebra. Linear Algebra is the only class I've taken and disliked because their book selection was terrible and my professor wasn't very good because he was still young. Here's a list for your Pdue people to compare against :

MA271 - Frederico Tournier - Italian (I believe) - very smart, smoked like a fiend, a bit of an accent but you could definitely understand him
MA351 - Martin Dereaux - French - this was the grad student who taught us and just wasn't as good as he could be. I think linear algebra is boring math though so that might not help...
MA366 - a woman whose name I cannot pronounce, let alone spell - She was of European descent but I couldn't make out her accent, easily understood and a very good professor
MA453 - Daniel Davis - white guy from the US - very smart, new teacher, very tough but very good
MA375 - Heinzer - Old white guy who is on his way out - He had a Southern drawl which was worse than most other accents. He was just OK and this class was a joke to be called Discrete Math
MA362 - William Ugalde - Costa Rican - AWESOME professor, tons of fun, very intelligent and can explain anything, he speaks fluent spanish and tells us great stories, awesome guy.

There's Purdue math for you in a nutshell should any of you go on to any of the upper level courses. I can't comment on any of the intro math classes since I didn't have to take them, but I'd imagine all the crappy people teach there since they can't cut it at the upper levels. Don't let the professors at that level discourage you from a very interesting future!

 

[PurdueRy]

I had federico!!!! GREAT PROF

 

[chuckywang]

Any of you guys had that one Purdue prof. to claimed to have proven the Riemann Hypothesis.

http://news.uns.purdue.edu/UNS/html4ever/2004/040608.DeBranges.Riemann.html

Louis De Branges de Bourcia is his name.

 

[PurdueRy]

not that I know of.