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: -1
Step-by-step explanation:
Answer:
$1,125 in interest.
Step-by-step explanation:
We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.
So we have
P = $7,500
i = 5%
t = 3 years
I = 7500 * 0.05 * 3
I = 1,125 (Interest)
Now we need to find the amount using A = P + I
A = 7,500 + 1,125
A = 8,625
Therefore $8,625 is our total. While our interest is $1,125.
Answer:
(x-7)(x+2/3)
Step-by-step explanation:
To easily find an equation with said roots, use the intercept form:
y=a(x-p)(x-q), where p and q are your roots.
y=(x-7)(x-(-2/3) = y=(x-7)(x+2/3)
Answer:
Round Square is an international network of about 200 schools.
Step-by-step explanation:
