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:
One time
Step-by-step explanation:
In both the numbers 72 and 78, the place value of 7 is 70.
Hence, 7 in 72 represents one time the value of the 7 in 78.
Answer:
x=28
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees
Therefore,
79+73+x=180
Combine like terms by adding 79 and 73
152+x=180
To solve for x, get x by itself. Since 152 is being added to x, subtract 152 from both sides. This will cancel the 152, and leave x by itself.
152-152+x=180-152
x=28
So, x is equal to 28 degrees
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )
