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LinearAlgebra
Last updated
2 years ago
T
r
(
A
)
=
∑
i
A
i
,
i
Tr(A) = \sum_iA_{i,i}
T
r
(
A
)
=
i
∑
A
i
,
i
Frobenious范数：
∣
∣
A
∣
∣
F
=
∑
T
r
(
A
A
T
)
||A||_F = \sum {Tr(AA^T)}
∣∣
A
∣
∣
F
=
∑
T
r
(
A
A
T
)
T
r
(
A
)
=
T
r
(
A
T
)
T
r
(
A
B
C
)
=
T
r
(
C
B
A
)
=
T
r
(
B
C
A
)
a
=
T
r
(
a
)
\begin{aligned} Tr(A) = Tr(A^T) \\ Tr(ABC) = Tr(CBA) = Tr(BCA) \\ a = Tr(a) \end{aligned}
T
r
(
A
)
=
T
r
(
A
T
)
T
r
(
A
BC
)
=
T
r
(
CB
A
)
=
T
r
(
BC
A
)
a
=
T
r
(
a
)