Step-by-step explanation:
Sí hola no speak espionage
Read the introductory paragraph and answer the question in complete sentences.
The community comes alive at night! Schools that once were dark in the evening are now alive with lights and people. The people are adults and the lights are on and the school buildings are open because adults are enrolled in community education classes.
What do you believe the subject will be?
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.
