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 10.
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
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 10.
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
