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vfiekz [6]
2 years ago
5

Which One Doesn't Belong?

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
3 0
Trapezoid because it’s the only shape that has only one pair of parallel lines
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Let T : V → W be a linear transformation from vector space V into vector space W.
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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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2 years ago
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R= -7x+1

Step-by-step explanation:

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