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:8600
Step-by-step explanation:
477
Answer:
Step-by-step explanation:Please mark me as the brainlyest
Answer:
For #2: It's C. 17 nickels and 15 quarters.
Step-by-step explanation:
17*5= 85
15*25= 375
375+85= 460
add in the decimal:
17* 5 cents= $.85
15* 25 cents= $3.75
$3.75+ $.85= $4.60
