Couple of questions for you Math guys. Please Help!
Ran in to a couple snags on this take home final for a math course I'm taking.
1) [Sigma(sum)] n=1 to (infinity) cos n/ n
a) Prove the series is convergent
b) Prove the series is not absolutely convergent
2) Suppose a matrix A satisfies A^2 = A. What are possible eigenvalues of A? Prove your claim.
If anyone knows how to get started on either of these problems I'd greatly appreciate it.
1) [Sigma(sum)] n=1 to (infinity) cos n/ n
a) Prove the series is convergent
b) Prove the series is not absolutely convergent
2) Suppose a matrix A satisfies A^2 = A. What are possible eigenvalues of A? Prove your claim.
If anyone knows how to get started on either of these problems I'd greatly appreciate it.
This is one retarded math course. The first half of the class is Linear Algebra and the second half is infinite series stuff (with a packet written by a professor at the university as text, worst material ever to try and learn infinite series). Thanks a lot Frycow, I have some sort of direction to go now. I might have some more questions later
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ing clue what the hell you guys are even talking about!