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Contact [7]
3 years ago
7

Suppose that L1 : V → W and L2 : W → Z arelinear transformations and E, F, and G are orderedbases for V, W, and Z, respectively.

Show that, if Arepresents L1 relative to E and F and B representsL2 relative to F and G, then the matrix C = BA representsL2 ◦ L1: V → Z relative to E and G. Hint:Show that BA[v]E = [(L2 ◦ L1)(v)]G for all v ∈ V.

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

a) v ∈ ker(<em>L</em>) if only if [V]_{E} ∈ <em>N</em>(<em>A</em>)

b) w ∈ <em>L</em>(<em>v</em>) if and only if [W]_{F} is in the column space of <em>A</em>

<em />

<em>See attached</em>

Step-by-step explanation:

See attached the proof Considering the vector spaces <em>V</em> and <em>W</em> with other bases <em>E</em> and <em>F</em> respectively.

Let <em>L</em> be the Linear transformation form <em>V</em> and <em>W</em> and A is the matrix representing <em>L</em> relative to<em> E</em> and <em>F</em>

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Please help! Correct answer only!
tatiyna

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

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3 years ago
Ashley is preparing for a horse riding competition. She has trained her horse for 5 hours and has completed 150 rounds. At what
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150/5 = 30

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I hope this helps!
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2 years ago
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A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is th
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Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

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Step-by-step explanation:

5 0
3 years ago
What is the area of this triangle?
Diano4ka-milaya [45]

ANSWER

56.1 square inches.

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The area of this triangle can be calculated using the formula,

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56.1 sq. inch

6 0
3 years ago
What is the mode of the data set?
strojnjashka [21]

The data set is

20

32, 34, 36

40, 42, 44, 48

55

65

We can see that each value only shows up one time. Therefore there is no mode. To have a mode, we need to have a value show up more than once, and it must be the most frequent value. For example, the set {1,2,3,3,4} has a mode of 3 since it shows up twice, the most of any value in that set. However we don't have that occur for the data set your teacher gave you.

<h3>Final Answer: There is no mode for this data set</h3>
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3 years ago
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