Answer
See answers below
Work Step by Step
a) The real vector space $C^n$ can be written as $v=(a_1,a_2,a_3,...a_n;b_1i,b_2i,b_3i,...b_ni)$
where $a_i,b_i \in R$
The dimension is $2n$
b) The complex vector space $C^n$ can be written as
$v=(c_1,c_2,c_3,...c_n)$
where $c_n \in R$
Hence the dimension is $n$
