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.
Answer: a reasonable answer would be 4 balls maximum and 0 balls minimum to any of 4 given boxes with the 4 box totals = 4 balls.
Step-by-step explanation:
Leah is baking a cake. The cake needs 1 2/8 of flour and 4 6/8 of sugar. Add the ingredients together. The answer is 4
