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lana [24]
3 years ago
11

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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What is the domain of the function y=2/x-6?
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Step-by-step explanation:

TO FIND THE DOMAIN OF THIS FUCTION AVOID SITUATIONS LIKE Y=2/0 FOR THIS IS UNDEFINED.

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Which order pair lies on the line 2x-y= -5
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Answer:

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4 0
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A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door. If the stained g
xenn [34]
The answer is <span>$494.55</span>

Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
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Since  the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
4 0
3 years ago
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