Show that each of these is not a vector space. (Check closure by listing two members of each set and trying some operations on them.)
(a) Under the operations inherited from R3, this set

(b) Under the operations inherited from R3, this set

(c) Under the usual matrix operations,

(d) Under the usual polynomial operations,
{a0 + a1x + a2x2 | a0, a1, a2 ˆˆ R+}
where R+ is the set of reals greater than zero
(e) Under the inherited operations,

Transcribed Image Text:

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