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:
To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.
Step-by-step explanation:
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Answer and Step-by-step explanation:
The answer is 5 units.
This is because the slope of that line is 2.5, and diagonal 2.5 units twice.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
A) 
Step-by-step explanation:
The equation of a circle is
where
is the center and
is the radius. If
and
, then:

Therefore, the equation of the circle is 
Answer:
The measure of the side
is 8.8.
Step-by-step explanation:
Since
, then
,
,
and
. From figure we have the following relationship:
(1)
Where
is the proportionality ratio.
If we know that
, then the measure of side
is:
(1b)


(1c)


The measure of the side
is 8.8.