Matlab中复数向量的点乘怎么理解？

Question

复数乘复数一般还是复数，
向量点乘是对应元素相乘求和，
那用dot命令直接算含复数向量的模怎么理解呢？
dot命令是不是直接可以求完共轭然后才求点乘与和呢？

Answer 1

MATLAB中两个向量.*运算，要两个向量长度一样，然后元素一一对应的乘，结果长度也一样。与数学上的向量点乘是不同的。数学上的乘在MATLAB中就是各分量组成向量，点乘再求和。两个复数比如(a+bi)点乘(c+di)，在matlab中就是sum([a,b].*[c,d])

Answer 2

Dot Product of Complex Vectors

Create two complex vectors.

A = [1+i 1-i -1+i -1-i];
B = [3-4i 6-2i 1+2i 4+3i];

Calculate the dot product of A and B.
C = dot(A,B)

C =

1.0000 - 5.0000i

The result is a complex scalar since A and B are complex. In general, the dot product of two complex vectors is also complex. An exception is when you take the dot product of a complex vector with itself.
Find the inner product of A with itself.
D = dot(A,A)

D =

8

The result is a real scalar. The inner product of a vector with itself is related to the Euclidean length of the vector, norm(A).