- #1
eckiller
- 44
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Hi everyone,
Let T be a linear operator on nxn Matrices with real entries defined by
T(A) = transpose(A).
Show that +-1 are the only eigenvalues of T.
Any tips on how to start this. I thought about writing the matrix representation relative to the standard basis, but it seemed really messy/tedious to write that out in general. Is there an easier way, or is that the only way to go?
Let T be a linear operator on nxn Matrices with real entries defined by
T(A) = transpose(A).
Show that +-1 are the only eigenvalues of T.
Any tips on how to start this. I thought about writing the matrix representation relative to the standard basis, but it seemed really messy/tedious to write that out in general. Is there an easier way, or is that the only way to go?