1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
3 years ago
6

Let E = {(x, y) e R2|xy > 0}. Determine whether E is a subspace of R2 . X3

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

E is not a subspace of \mathbb{R}^2

Step-by-step explanation:

E is not a subspace of  \mathbb{R}^2

In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

You might be interested in
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sh
Vesna [10]

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

7 0
3 years ago
A hot air ballon begins its descent at a rate of 22 1/2 feet per minute. How long will it take for the balloon's elevation
Semmy [17]
The descent of the balloon would take 14 minutes
To find the answer to this problem, take the elevation change (315) and then divide it by the rate of descent (22.5)
5 0
3 years ago
Read 2 more answers
Which two ratios form a proportion? A) 1 : 3 and 6 : 3 B) 1 : 3 and 3 : 6 C) 3 : 1 and 9 : 3 D) 3 : 1 and 3 : 9
tamaranim1 [39]

Answer:

c

Step-by-step explanation:

you have to set them up as a fraction and see if they are an equivalent fraction and if they are thats the proportion

4 0
3 years ago
Read 2 more answers
PLEASE HELP ILL MARK BRAINEST!!!!
earnstyle [38]

Answer:

(-3,8) would NOT fit the table.

6 0
2 years ago
Read 2 more answers
What is the circumference of a circle whose radius is 3 3/4ft?
Kay [80]

Answer: hey check this image the answer is in the image

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
    9·1 answer
  • The value y is a function of x if for each element x in the domain, there is/are how many value(s) of y in the range?
    6·1 answer
  • What is 0.08 10 times as much
    13·1 answer
  • HELP needed!!<br>Completely the steps to find the value of x in the angle?​
    12·1 answer
  • Round the number 95,498 to the ten thousands place value
    6·1 answer
  • What is the solution to the equation x2 + 2x = 12?
    8·2 answers
  • In a group of kangaroos, the two lightest kangaroos weigh 25% of the total weight of the group. The three heaviest kangaroos wei
    12·1 answer
  • Mathew’s mom asked him to go to the store for her. To get to the store he walked seven blocks. He caught the bus and rode 13 blo
    6·2 answers
  • What is the difference between public relation and costomer relation?
    7·1 answer
  • The difference in the values of dependent variables for a function is increasing as values of the independent variable increase,
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!