Similar matrices Flashcards
1
Q
A ∼ B det(A)=
A
det(B)
2
Q
A ∼ B. A is invertible iff
A
B is invertible
3
Q
A ∼ B. Rank?
A
A and B have the same rank
4
Q
A ∼ B. Characteristic polynomial?
A
A and B have the same characteristic polynomial
5
Q
A ∼ B. Eigenvalues?
A
A and B have the same eigenvalues
6
Q
A ∼ B. Trace?
A
A and B have the same trace
