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From the following select the one(s) that are vector spaces. A B R 3 with additi

ID: 3092298 • Letter: F

Question

From the following select the one(s) that are vector spaces. A B R3 with addition andscalar multiplication defined by
é
ê
ê
ê
ë x1 ¼ x3 ù
?
?
?
û + é
ê
ê
ê
ë y1 ¼ y3 ù
?
?
?
û = é
ê
ê
ê
ë x1+y1 ¼ x3+y3 ù
?
?
?
û and
k é
ê
ê
ê
ë x1 ¼ x3 ù
?
?
?
û = é
ê
ê
ê
ë 3 k x1 ¼ 3 k x3 ù
?
?
?
û C D You have notattempted this yet
A B R3 with addition andscalar multiplication defined by
é
ê
ê
ê
ë x1 ¼ x3 ù
?
?
?
û + é
ê
ê
ê
ë y1 ¼ y3 ù
?
?
?
û = é
ê
ê
ê
ë x1+y1 ¼ x3+y3 ù
?
?
?
û and
k é
ê
ê
ê
ë x1 ¼ x3 ù
?
?
?
û = é
ê
ê
ê
ë 3 k x1 ¼ 3 k x3 ù
?
?
?
û C D

Explanation / Answer

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