1. Let z be a fixed element of R. For arbitrary elements x, y = R" and arbitrary scalar a € R, define vector addition and scalar multiplication, denoted by and respectively, as follows: xy=x+y-z, Show that (R", 0, 0) is a vector space. = and ax a(x − 2) + z. -

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write prove statements

1.
Let z be a fixed element of R. For arbitrary elements x, y = R" and arbitrary scalar a € R, define
vector addition and scalar multiplication, denoted by and respectively, as follows:
xy=x+y-z,
Show that (R", 0, 0) is a vector space.
=
and ax a(x − 2) + z.
-
Transcribed Image Text:1. Let z be a fixed element of R. For arbitrary elements x, y = R" and arbitrary scalar a € R, define vector addition and scalar multiplication, denoted by and respectively, as follows: xy=x+y-z, Show that (R", 0, 0) is a vector space. = and ax a(x − 2) + z. -
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