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3 years ago

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

Mathematics

1 answer:

wel3 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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allochka39001 [22]

Answer:

y=3x-2..... i

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Substituting the value of y in equation i,

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Alex saved x dollars.

steposvetlana [31]

Answer:
Ethan = 1.(3x)

Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
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2 years ago

The null space for the matrix is spanned by the vector:_______

mafiozo [28]

Answer:

True

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

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3 years ago

It will cost Amber an estimated $3,723 a year in tuition to attend her preferred college. She has been putting $350 a month in a

kenny6666 [7]

Answer:

Yes; she will have $4008 for other expenses.

Step-by-step explanation:

First you find out how much she saved by multiplying 350 by 36 as she saved for 3 years which is 36 months.

$350 \times 36 = 12600$

After that you need to work out the amount she needs in total for her tuition by multiplying 4 by 3723 which is the amount needed per year.

$3723 \times 4 = 14892$

If her parents add to her account half the amount she saved that means that they give her an additional 6300 as that's half of 12600.

This means she has 18900 and if you take away 14892 you will be left with 4008 for expenses.

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3 years ago