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Inverse
( cofactor matrix of M ) T
det M
M 1
=
] 1
N 1 M 1 .
[
MN
=
Orthogonal
M is orthogonal if M T
M 1 .
=
Trace
Tr ( A )
=
a
+
d
=
+
+
Tr ( B )
a
e
i
=
Tr ( MN )
Tr ( NM ).
Symmetric
M T .
M is symmetric if M
=
Symmetric part S
2 M
M T .
1
S
=
+
Antisymmetric
M T .
M is antisymmetric if M
=−
Antisymmetric part Q
2 M
M T .
1
Q
=
Eigenvector
=
v is the eigenvector of M if Mv
λ v .
Eigenvalue
λ is the eigenvalue of M if Mv
= λ v .
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