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Kunze Linear Algebra
· Problem 3.5.3
Linear Transformations
Mathematics — Methods · trace-similar-matrices
Problem
If
A
A
A
and
B
B
B
are
n
×
n
n \times n
n
×
n
matrices over the field
F
F
F
, show that
trace
(
A
B
)
=
trace
(
B
A
)
\text{trace}(AB) = \text{trace}(BA)
trace
(
A
B
)
=
trace
(
B
A
)
. Now show that similar matrices have the same trace.
Related theory
Similar Matrices
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