Notation question: linear map $P(x_1,x_2,x_3,x_4,x_5)$

Question

Consider the vector space $\mathbb{C}^5$ and the map $P:\mathbb{C}^5\mapsto\mathbb{C}^5$, $P(x_1,x_2,x_3,x_4,x_5)=(x_1,x_2,0,0,0)$. Am I supposed to read $x_1,x_2,x_3,x_4,x_5$ as 5 vectors or as the 5 entries of a single vector?

Answer 1

They're five entries of a vector; $P$ has domain $\mathbb C^5$ so each $x_i$ is a complex number.