Suppose h; i1 and h; i2 are inner products on V such that hv;wi1 D 0if and only if hv;wi2 D 0. Prove that there is a positive number c suchthat hv;wi1 D chv;wi2 for every v;w 2 V.

L5 - 9 Application ex. Aceanendngrdspcssnrducdtoantual preserve. Suppose the initial population was 10 animals and population growth is limited by the size of the preserve to a carrying capacity of 100. The population aft1000 years can be modeled by the formula P(t)= . Find 10 + 90e −t the inverse function and explain its meaning.