Is the Matrix Always Diagonalizable? Insights and Proofs Explored

  • Thread starter Thread starter pezola
  • Start date Start date
Click For Summary
The discussion centers around the diagonalizability of matrices, with participants exploring insights and proofs related to the topic. Key points include the conditions under which a matrix can be diagonalized and the implications of these conditions in linear algebra. The conversation also touches on the importance of understanding eigenvalues and eigenvectors in determining diagonalizability. Participants encourage sharing resources and previous discussions to enhance understanding. Overall, the thread aims to clarify the concept of diagonalizability in the context of matrix theory.
pezola
Messages
11
Reaction score
0
1.
 
Physics news on Phys.org
:smile: mmm … gimme a clue! … :smile:
 
yeah, i know... i just submitted the real one...can I delete this blank one?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
5
Views
5K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 9 ·
Replies
9
Views
7K