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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
267.0. "Similar matrices" by HARE::STAN () Wed Apr 24 1985 19:05
Here is a problem from Harry Hochstadt:
Is the matrix
0 1 0 1
1 0 1 0
0 1 0 1
1 0 1 0
similar to some matrix of the form
0 1 a 0
1 0 1 b
a 1 0 1 ?
0 b 1 0
More generally, start with a symmetric tri-diagonal matrix. Add a 1
at the bottom left and upper right. Is the resulting matrix similar
to some symmetric pendiagonal matrix? (A pendiagonal matrix is one in which
all entries are 0 except for the 5 diagonals centered about the main
diagonal.)
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