Answer:
The 3rd option or 39,600 would be the correct answer.
Step-by-step explanation:
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Answer:
1) 1 and 4
2) 1 and 2
3) 1 and 5
4) 2 and 3
5) 130
6) 90
7) 25
8) 115
9) 70
10) 115
11) 40
12) 105
Step-by-step explanation:
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Explanation:
Since {v1,...,vp} is linearly dependent, there exist scalars a1,...,ap, with not all of them being 0 such that a1v1+a2v2+...+apvp = 0. Using the linearity of T we have that
a1*T(v1)+a2*T(v1) + ... + ap*T(vp) = T(a1v19+T(a2v2)+...+T(avp) = T(a1v1+a2v2+...+apvp) = T(0) = 0.
Since at least one ai is different from 0, we obtain a non trivial linear combination that eliminates T(v1) , ..., T(vp). That proves that {T(v1) , ..., T(vp)} is a linearly dependent set of W.
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