Mathematics, 13.02.2020 20:15 ladybugys
Let V be the set of vectors in R2 with the following definition of addition and scalar multiplication:
Addition: [x1x2]?[y1y2]=[0x2+y2]
Scalar Multiplication: ??[x1x2]=[0?x2]
answer yes or no
x?y=y?x for any x and y in V
(x?y)?z=x?(y?z) for any x, y and z in V
There exists an element 0 in V such that x?0=x for each x?V
For each x?V, there exists an element ?x in V such that x?(?x)=0
??(x?y)=(??x)?(??y) for each scalar ? and any x and y V
(?+?)?x=(??x)?(??x) for any scalars ? and ? and any x?V
(??)?x=??(??x) for any scalars ? and ? and any x?V
1?x=x for all x?V
Answers: 1
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Let V be the set of vectors in R2 with the following definition of addition and scalar multiplicatio...
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