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

How many sides does a polygon have if the sum of its interior angle measures is
7380°?

Answers

43

if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.

There are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

What is Polygon?

A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.

We have to find the number of sides in a polygon.

The sum of its interior angle measures is 7380°

The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°

where n is the number of sides of the polygon

7380 = (n-2)×180

We have to solve for n

Divide both sides by 180

7380/180=n-2

41=n-2

Add 2 on both sides

43 = n

Hence, there are 43 sides in a polygon,  if the sum of its interior angle measures is 7380°.

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Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answers

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was

Answers

Garrick's measurement was 2 mm off. (10 - 8 = 2)

Zan's measurement was 12 mm off. (100 - 88 = 12)

Garrick's percent error was 20% (2 / 10 x 100)

Zan's percent error was 12% (12 / 100 x 100)

please help me on this its reading​

Answers

The answer is C to be informed about a new topic.

Answer:

C.

Step-by-step explanation:

C. be informed about a new topic

What is the name for an upward trend for an exponential function?
Exponential Growth
Scientific Notation
Growth-Decay Notation
Exponential Decay

Answers

Answer:

Step-by-step explanation:

Exponential growth

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: all of dem except for 6

Step-by-step explanation:

Pls help 15 points What is the are of the trapezoid?

Answers

Answer:

D) 156 mm²

Step-by-step explanation:

18+8=26

26/2=13

13x12=156

5. During the day a person consumes 360 calories from fruit. How many calories does this person consume in their daily diet? *

PLEASE HELP

A. 1,600

B. 2,300

C. 2,400

D. 2,600

Answers

Answer:

I believe that it is C.

Step-by-step explanation:

360x0.15 = 24, 15% is from the given chart...

I am not 100% sure, but I do think that this is right.

The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

1,050 calories should be consumed daily for a 105-pound person.

Now, to get the weight of an individual who consumes 1,370 calories per day.

If 1,050 calories should be consumed per day for = 105-pound person.

So, 1 calorie should be consumed per day for =105/1050

                                                                            =1/10                                                                                

Then, 1,370 calories consumed per day for weight of =1370/10

                                                                                         = 137 pounds

Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.

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complete question:

The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?

21 students are going on a field trip and 3 students are staying at school what is the ratio of the numbers of students who are going on a field trip to the number of students who are staying at school?

Answers

Answer:

21/3 or 7/1

Step-by-step explanation:

Answer:

21/3

Step-by-step explanation:

hope this helps you

PLS HELPPPPPPP MEEEEE

Answers

Answer:

4.7 · 10^7

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Which is more 4 inches or 1 foot

Answers

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches

how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question

Answers

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number

Answers

hello! hope this helps you

Answer: 3 1/3

Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.

Hope it helps :) and look at pic below.

Mandy runs 4 km in 18 minutes. She plans to run in a 16 km race. Based on her current speed. how long will it take her to complete the race

Answers

Answer:

72 minutes

Step-by-step explanation:

You need to set up 2 fractions and set them equal to one another to be able to solve this.

Equation: 4km/18min = 16km/x min

You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.

Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.

Hope this was helpful!

Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22

Answers

The answer to your question might be B

What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)

Answers

Answer:The mean absolute deviation of the set of data is

2.24

.

Step-by-step explanation:

NANDARIINI RINNERIE MIRANI INDONESIA NOUTATI x2 - 7 when x = 8 mundo​

Answers

Answer: 57

Step-by-step explanation:

x² - 7

When x = 8

= x² - 7

= 8² - 7

= 64 - 7

= 57

jawabannya adalah 57

Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =

Answers

Answer

its confusing

Step-by-step explanation:

Solve the formula S=43.14r^2 for r.

Answers

Your would be B

Explanation:

How many solutions will there be to the following equation 16^2=100

Answers

None Bc the first person is correct

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.

Answers

Answer: 2 places to the right

Step-by-step explanation:

If i'm wrong sorry hope it helps

In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.

Answers

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

=

b

sinB

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

=

35

sin48

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

\{\}

{}

Answer:

no Possible Triangles

Step-by-step explanation:

Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist

Answers

Answer:

Ewan?1234567891011121314151617181920

Answer:

No clue at all. ?

Step-by-step explanation:

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

i think C if i’m wrong i’m sorry

A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is

Answers

Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768

Helppppppppppppppppppppppppppppppppppp

Answers

Answer:

acute.... ....... .. . ......

Correct answer is C. Acute angle

Please please help please

Answers

Answer:

Your answer will be D. 15,840:) you're welcome, have a great day:)!

Your answer is D, 15,840 feet

1 mile = 5280 feet

3 x 5280 = 15,840

Simplify 8-9+8÷4
Please help thank you

Answers

Answer:

1.

Step-by-step explanation:

The equation 8 - 9 + 8 / 4 is given.

When solving equations with multiple signs in them, we need to follow PEMDAS.

Which is an acronym for a series of equations you need to follow in order.

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction.

So look at the equation, 8 / 4 would be first since it is dividing.

8 / 4

2

8 - 9 + 2

Now when it comes down to the last two of PEMDAS (Addition and Subtraction), we can just solve left to right.

Therefore,

8 - 9

-1

-1 + 2

1

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