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melomori [17]
2 years ago
12

Please help me answer this question

Mathematics
1 answer:
bonufazy [111]2 years ago
5 0

Answer:

Step-by-step explanation:

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Use mathematical induction to prove that if L is a linear transformation from V to W, then L (α1v1 + α2v2 +· · ·+αnvn)= α1L (v1)
e-lub [12.9K]

Answer:

The proof is shown in the explanation below.

Step-by-step explanation:

Analysis:

The proof by induction focuses on n. In this case, let n = 1, and L^{1} will be a linear operator since L^{1} = L

The exercise will show that L^{n} is a linear operator on V and that L^{n+1} is also a linear operator on V. This, follows that:

L^{n+1} (av) = L(L^{m}(v_{1}+v_{2})\\                   = L(L^{m} (v_{1} + L^{m}v_{2})\\                   = L(L^{m}v_{1} + L(L^{m}v_{2})\\                   = L^{m+1}(v_{1}) + L^{m+1}(v_{2})

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2 years ago
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Darina [25.2K]
The answer is (3,4)
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3 years ago
T a linen sale Mrs. Earle bought twice as many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not in
Anettt [7]
For this case, the first thing we must do is define variables:
 x: number of pillowcases
 y: number of sheets
 We now write the system of equations:
 2x + 5y = 40
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 x = 8.9
 y = 4.4
 Answer:
 
The maximum number of pillowcases she could have purchased is:
 
x = 8 (spent less than $ 40)
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2 years ago
What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch
Reptile [31]

Answer:

28413.4 in (radius} = diameter divided by 2 = 47.7 divided by 2 =23.85

radius=  2

diameter

​ =  2

47.7

=23.85

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2 years ago
What is 100 in pi form?
Tema [17]
That would be 314 because 100xpi
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2 years ago
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