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Len [333]
2 years ago
15

Recall that the standard basis of ℝ3 is {E1, E2, E3}. If T:ℝ3→ℝ2 is a transformation and the action of T on the vectors Ei is as

given, find a formula for T(X), where X is any vector in ℝ3.
T(E1)= 2 T(E2)= \begin{bmatrix} 0 \\ 5 \end{bmatrix} T(E3) = \begin{bmatrix} 4 \\ 0 \end{bmatrix}

T\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}

Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer:

Your question is not clear.  But it seems like the answer could be like the one at the images.

Step-by-step explanation:

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1. A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per h
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Answer:

Step-by-step explanation:

I don’t know, can I get help answering this

7 0
2 years ago
Mila often buys orange juice and a bagel on her way to work. Today, she tries a new café
KengaRu [80]

Answer:

-$0.14

Step-by-step explanation:

7 0
2 years ago
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Julio says," If you subtract 14 from my number and multiply the difference by -7, the result is -119." What is Julios's number?
mart [117]

Answer:

Julio's number is 31

Step-by-step explanation:

Let's assume Julio's number is x

If we subtract 14 from x, we'd have

x - 14

We multiply the difference by -7, we'll have

-7(x - 14) = -7x + 98

Note that multiply 2 negative signs gives a positive sign, that is,

- x - = +

-7 x -14 = 98

When we multiply the difference by -7, the result is -119

-7x + 98 = -119

To collect like terms, we subtract 98 from both sides of the equation

-7x + 98 - 98 = -119 - 98

-7x = -217

We then divide both sides by -7, that is the coefficient of x

-7x/-7 = -217/-7

x = 31.

Therefore, Julio's number is 31

6 0
2 years ago
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
const2013 [10]
-4(x + 3) < = -2 - 2x
-4x - 12 < = -2 - 2x
-4x + 2x < = -2 + 12
-2x < = 10
x > = -5

the correct number line will have closed circle on -5 with shading to the right
4 0
2 years ago
Read 2 more answers
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y
jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0
2 years ago
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