- #1
brru25
- 29
- 0
Homework Statement
Let A be an n×n real matrix. Show that there exists S such that SAS-1 is block upper triangular with diagonal blocks of size at most 2.
Homework Equations
BUP = block upper triangular
The Attempt at a Solution
It sounds a lot like the Schur decomposition (which is proven by induction), but the only difference is that here the question is asking for an S such that SAS-1 is BUP, but the Schur decomposition says that SAS* is BUP