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lana [24]
2 years ago
11

Let T : V → W be a linear transformation from vector space V into vector space W.

Mathematics
1 answer:
wel2 years ago
7 0

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.

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Please help me. I am having trouble
spin [16.1K]

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

5 0
2 years ago
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Tim and Tom are painters. Tim and Tom are painting a crate. Tom paints 10 sq ft per minute. They painted a particular crate in 1
slava [35]
Tom-------------- >10 sq ft per minute

Tim------------------- >3.5*10=35 sq ft per minute

 Both painters (10+35)=45 sq ft per minute

 let's assume a cubic unit crate----------> V1=1*1*1=1 feet3

<span>the total surface of the cube is S1=6*(1*1)=6 </span>sq ft

 if the volume of the cube increases twice 

V2=2 feet3 ------------------- >    2=x*x*x------------- >x=2^(1/3)

And the S2=6*(2^(1/3)*<span> 2</span>^(1/3)=9.5244 sq ft

V2/V1=9.5244/6=1.5874

Therefore

If Tim and Tom----------------------- > take 1 day----------- > to paint a crate V1

For the crate V2------------- > take 1.5874 days 

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6 0
3 years ago
I need to answer for the parentheses
rewona [7]

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Step-by-step explanation:

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let me know if this helps guys my husband helped me with it he is good at math

6 0
3 years ago
M is the midpoint of AD. Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The lengths of sid
SVETLANKA909090 [29]

Answer:

<h2>Reflection.</h2>

Step-by-step explanation:

The image attached shows a representation of the problem, there you can observe the congruence between triangles.

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Therefore, the right answer is reflection.

8 0
3 years ago
I need Help plsssss!!!!!
laiz [17]

Answer:

2x - 3

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Step-by-step explanation:

The root of a problem is the x value that makes the equation equal to zero.

If the factored form of the equation is (2x-3)(x-9) that means if either 2x - 3 or x - 9 is equal to zero, the entire equation will equal zero, because zero times any number is equal to zero.  

Therefore you must solve for (2x-3)=0 and (x-9)=0

4 0
3 years ago
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