(m×n)
A (p × q) B (mp × nq)
A ⊗ B =
a
11
B a
12
B ··· a
1n
B
a
21
B a
22
B ··· a
2n
B
··· ··· ··· ···
a
m1
B a
m2
B ··· a
mn
B
.
AC BD
(A ⊗ B)(C ⊗ D) = AC ⊗ BD ;
(A ⊗ B)
T
= A
T
⊗ B
T
A B
A ⊗ B =
¯
A ⊗
¯
B , (A ⊗ B)
∗
= A
∗
⊗ B
∗
;
A B A ⊗ B
(A ⊗ B)
−1
= A
−1
⊗ B
−1
.
