QuestionLet . For and define vector addition by and scalar multiplication by . It can be shown that is a vector space. Find the following: the sum: the scalar multiple: ) the zero vector: the additive inverse " " of : ) (Must be in terms of and )
Studdy Solution
To find the additive inverse of , we need a vector such that:
Using the vector addition operation:
Equating components:
Thus, the additive inverse is:
The solutions are:
1.
2.
3. Zero vector
4. Additive inverse
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