Question: 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.)
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
-1.png)
(b) Under the operations inherited from R3, this set
-2.png)
(c) Under the usual matrix operations,
-3.png)
(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,
-4.png){kind=small}
a 1 hl a, b,c E R E R2x +3y 4 and 2x y 3 and 6x +4y 10)
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