V is a vector space. Mark each statement True or False. Justify each answer.

a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.

Answers

Answer 1

Answer:

FalseFalseFalseFalseTrue

Step-by-step explanation:

A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries

B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables

C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace

D) False : This is only possible when S has exactly n elements/vectors

E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent


Related Questions

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

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Answer:

all but the middle

Step-by-step explanation:

did this on a test an got 100%

Answer:

You have negetive points

Step-by-step explanation:

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

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Answer:

just upload the file

Step-by-step explanation:

Answer:

1:Add the x for the number of tbs 2: Add all the values together.

Step-by-step explanation:

Hope this helped!

pls help
#1
isjsbijsj​

Answers

Answer:

The value of “Y” is (6)

Step-by-step explanation:

the x value unit of “5” has the y value of “6.”

Answer:  6

EXPLANATION:

The x axis is the one on the bottom that goes like this : ---

The y axis is the one that is like a vertical line up like this: |

If you look at the x axis you can see that one the 5 and you go up you can see there is a dot that is on the 6.

A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit​

Answers

Answer:

$1120 and $280.

Step-by-step explanation:

$1400 = 125%

100% = $1120

The cost of the price was $1120.

$1400 - $1120 = $280.

The profit was $280.

Hope this helps!

Find the range of the following data set. 451, 376, 380, 470, 546, 481

Answers

Answer: 170

Steps:
Range- the difference between the greatest and smallest value of a data set.

546 - 376 = 170

Answer:

170.

Step-by-step explanation:

jus did it

can i get brainliestttt

If 28 less than five times a certain number is 232 what is the number?

Answers

Answer:

Stepby-step explanation:

The certain number = n

232 = 5n-28

232+ 28 = 5n -28 + 28

260 = 5n

260/5 = 5n/5

52 = n

please help !

Find the value of x. Round to the
nearest tenth.
26°
12
X
x = [?]

Answers

Answer:

x = 5.85

Step-by-step explanation:

Given that,

One angle = 26°

Middle angle = 90°

Third angle = 180-(90+26) = 64°

Height, H = 12

We need to find the value of x. Using trigonometry to find it such that,

[tex]\tan64=\dfrac{12}{x}\\\\x=\dfrac{12}{\tan(64)}\\\\x=5.85[/tex]

So, the value of x is equal to 5.85.

Answer:

5.9

Step-by-step explanation:

im doing this rn

find the lateral surface area of the prism. geometry hw

Answers

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

[tex]la=5ah[/tex]

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

Ac=-7 (correct answer on edg)

B.c=-1

C.c=4

D.c=7

Answers

The correct answer
C= -7

bathroom that is 6 feet long. If the mirror sells for $4.00 per square foot, what will the total cost of the mirror be?

Answers

The total cost of the mirror would be $24 because 6 times 4 equals 24.

Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?


NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!

Answers

Answer:

3/4

Step-by-step explanation:

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

Given f(x) = -x^2 - 2x + 4, find each of the following,

Symmetric point:
Minimum of f:
Maximum of f:
Is f a one-to-one
Does f have an inverse?
Increasing on
Decreasing on

Answers

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4

take your time please.​

Answers

Step-by-step explanation:

6/5(4)=24/20

1/2(5)=5/10

3/9(7)=21/63

3/8(5)=15/40

4/3(9)=36/27

2/4(8)=16/32

9/6(2)=18/12

7/5(6)=42/30

4/7(3)=12/21

The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately​

Answers

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

Solve for c........:

Answers

Mark my answer brilliant if it helps you.

Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1

Answers

Answer: C) 4

Step-by-step explanation:

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

Read more about chi-square test at:

https://brainly.com/question/4543358

If the points in the table lie on a parabola, write the equation whose graph is the parabola.

Answers

Answer:

what? i need a table to answer

Step-by-step explanation:

Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!

Answers

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.

One equation in a system is y = 2x - 4. Which equation gives the system no solution?

y = 2x - 4

y = 2x + 9

y = 1/4x - 4

y = -2x + 4

Answers

Answer:

[tex]y = 2x + 9[/tex]

Step-by-step explanation:

Step 1: I have to compare the equation given to the equation of a straight line

From the question, we have:

[tex]y = 2x - 4 \\ y = mx + c[/tex]

hence m = 2 and c = -4

So, the choice B: y = 2x + 9

Gives : m = 2 and c = 9

Hence since m is the same that is (= 2) and c is different, hence the equation has not solution then.

So, the answer is choice B

What is the value of the expression 8 divided by 12?

Answers

Answer:

2/3 or .66666666

Step-by-step explanation:

Solve 4r2 – 5 = 59
{± 3}


{± 4}


{± 5}


{±6}

Answers

9514 1404 393

Answer:

  (b)  ±4

Step-by-step explanation:

  4r^2 -5 = 59 . . . . given

  4r^2 = 64 . . . . . . . add 5

  r^2 = 16 . . . . . . . . . divide by 4

  r = ±4 . . . . . . . . . . . take the square root

A chemist mixed two samples together: a gray liquid that boils at 103°C and a colorless gas that boils at 19°C. She analyzed the results and found two ending substances. One of the ending substances was a pink liquid. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?

Answers

Answer:

Its C

Step-by-step explanation:

Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.

What is atoms?

Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.

here, we have,

we know that,

Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.

To learn more about atoms

brainly.com/question/6258301

#SPJ2

complete question:

11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Circumference = pi x diameter

Pi = 3.142


Answer for Q1 = 18.852

6 x 3.142 = 18.852


Answer for Q4 = 25.136

As it gives the radius, you gotta double the radius to get the diameter of the circle

8 x 3.142 = 25.136


Hope this helps :]

1
2
4
5
Beth filled 56 jars with paint.
If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Beth used
gallons of paint

Answers

Answer:

7

Step-by-step explanation:

Brainliest for correct answer

Answers

Answer:

2 is the answer I think sorry if am wrong

Find the mean of the table below

Answers

Answer:

75/6 = 12.5

Step-by-step explanation:

Mean = The sum divided by the number of numbers.

what are the real solutions to the equation 5x2 + 29x + 20 = 0?

Answers

Answer:Solutions are: x = -5, x = -4/5.

Step-by-step explanation:

Answer: -30/29

Step-by-step explanation: Let's solve your equation step-by-step.

(5)(2)+29x+20=0

Step 1: Simplify both sides of the equation.

(5)(2)+29x+20=0

10+29x+20=0

(29x)+(10+20)=0(Combine Like Terms)

29x+30=0

29x+30=0

Step 2: Subtract 30 from both sides.

29x+30−30=0−30

29x=−30

Step 3: Divide both sides by 29.

29x/29=-30/29

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.15x2+3.2x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball reaches a maximum height of _______ feet at a horizontal distance of ____
feet away from the golf club it was hit with.
The ball returns to the ground at about ________ feet away.

Answers

9514 1404 393

Answer:

  maximum height of 17.07 feet about 10.67 feet from the club

  returns to the ground 21.33 feet away

Step-by-step explanation:

A graphing calculator can answer these questions easily.

The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...

  x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club

The maximum height is the function value at that point.

  h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15

The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.

Which is the graph of the linear equation y=-1/4x+3

Answers

Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.

Rename 5/12 and 7/8 using the least common denominator

Answers

Answer:

10/24 and 21/24

Step-by-step explanation:

So the least number that both 12 and 8 will divide into is 24

so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24

Answer:

10/24 and 21/24

Step-by-step explanation:

answers for plato test

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