Prove that if A and B are both invertible n x n matrices, then AB and BA
have the same eigenvalues.
(b) Given that A is an n x n matrix with eigenvalues λi, i = 1, . . . ,
n, prove that:
n
n
(i) ∑λi = tr (A) and
(ii) ∏ λi = │A│
.
6
8
:
<
>
@
B
D
V
X
‚
„
ь
X
i=1
Economics Homework Solutions
#11476
Matrices Eigenvalues
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