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

Help me pls I need a good grade

Answers

Answer: 226

Step-by-step explanation:

arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)

so arc ZWX is 180+46=226

2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.​

Answers

Answer:

Taxable income:

Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.

Tax rebates:

A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.

Tax threshold:

The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.

PLZ ANSWER NO FAKE LINKS

Answers

Answer:

equation is 4*3 =12

Step-by-step explanation:

She had 12 guests because there was 4 parts each.

( PLEASE HELP )Use the table to write a proportion .

Answers

8/6 and then m/16 is the correct answer

In a middle school of 80 students, 42 girls and 38 boys. What is the probability
that if two students were randomly chosen, the first is a boy and then a girl
sequentially?

Answers

Answer:

dont have idea

Step-by-step explanation:

have not studied that topic

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

Answers

Answer:

x=76

Step-by-step explanation:

The two marked angles are alternate angles, which means they're equal.

Answer

76%

Step-by-step explanation:

I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%

Corresponding Angles are congruent.
Which angle corresponds with <3?

Answers

Answer:

<5

Step-by-step explanation:

angle correspondant

Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters

Answers

Answer:

5

Step-by-step explanation:

Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
8, 17, 19
Acute
Obtuse
Right

Answers

Answer:

Obtuse

Step-by-step explanation:

Pythagorean thm:

a² + b² = c²

8² + 17² = 19²

64 + 289 = 361

353 = 361

Since c (the hypotenuse) is bigger than the legs combined, the triangle is obtuse.

look at pic 10 pts will mark brainilest

Answers

Answer:

The Answer is C

Step-by-step explanation:

2.00/5= C

can i have brainlist please :)

I picked the last one by accident but what is the correct answer?

Answers

the third choice because -10 is greater than -14 and greater numbers are more towards the right.

Help me please :(.....

Answers

Answer:

1, 1, 3, 3

Step-by-step explanation:

For an even function, f(-x) = f(x).

So, f(-1) = f(1) = 1.

Similarly, the other three blanks are 1, 3, and 3, respectively.

What is the radius of a circle that has an approximate circumference of 81.64 meters? (Use 3.14 for ).

r =
m

Answers

Radius—r:
2r(3.14) = 81.64
6.28r = 81.64
r = 13

12.99m

Answer:

r=13

Step-by-step explanation:

81.64/3.14=26(diameter)

26/2=13(radius)

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

Answers

Answer

its confusing

Step-by-step explanation:

What can you say about

Answers

To say about what? What is the question about

help plssssssssssssssssss

Answers

Answer:

3) Not equivalent

4) Equivalent

5) Equivalent

(Multiply by two for the last two questions)

Using the Zero Factor Property, solve (2x + 1)(x - 6) = 0.

Answers

Answer:

1 2/3 or 1.67

Step-by-step explanation:

(2x+1)+(x-6)=0

Remove parenthesis.

2x+1+x-6=0

Rearrange to make life temporarily easier.

2x+x+1-6=0

Now combine like terms.

3x-5=0

Add 5 to cancel it out.

3x-5=0

   +5 +5

3x=5

Divide 3 from both sides to cancel that out.

3x=5

/3  /3

x=5/3 or 1 2/3

So the answer is 1 2/3 or 1.67

---

hope it helps

How to find rate of change on a table

Answers

Answer:

   __X__l__Y_

        1     l    3

        5    l    6

        9     l    9

        13   l    12

        17   l    15

        21   l    18

On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.

What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC is AA'B"C".​

Answers

Answer:

The first Transition is a reflection over the line M

The second transition is a 180 degree rotation.

Step-by-step explanation:

What are equivalent expressions for
3 (y + 1) + 4 + 3y

Answers

Answer:2yu

Step-by-step explanation:if you see this hi

A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

let : x the width  

the area  is 2/3 ×  x  =3/9

x = (3/9)×3/2

x =1/2  miles

If 10 miles≈16 km​, about how many miles would be equal to 92 km​? Show how you decided.

Answers

Answer:

57.5 miles

Step-by-step explanation:

10 mi : 16 km

x mi  : 92 km

(10)(92) = (16)(x)

920 = 16x

57.5 = x

While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.

Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|

Answers

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

How do you write an equation in slope-intercept form for the line through the given points (8, 10) and (14, 13)

Answers

Answer:

y=1/2x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-10)/(14-8)

m=3/6

simplify

m=1/2

y-y1=m(x-x1)

y-10=1/2(x-8)

y=1/2x-8/2+10

y=1/2x-4+10

y=1/2x+6

help pls will give brainliest !!!!

Answers

Answer:

can you retake the picture i cant really see this one very well

Step-by-step explanation:

¡4 = -1
O True
False

Answers

Answer:

Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1

Hopefully that helps

Step-by-step explanation:

can someone solve these for me? its factoring trinomials

you can dm the answers on ig as well if you'd like

Answers

Answer:

1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]

2.) [tex]\left(a-3\right)^2[/tex]

3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]

4.) [tex]=\left(b+7\right)^2[/tex]

Step-by-step explanation:

2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].

[tex]a=a,\:b=3[/tex]

[tex]=\left(a-3\right)^2[/tex]

3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].

[tex]=\left(t+8\right)\left(t-9\right)[/tex]

when can a parallelogram also be a kite?

Answers

9514 1404 393

Answer:

  when it is a rhombus

Step-by-step explanation:

A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.

A parallelogram that is a rhombus will also be a kite.

The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?

a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50

Answers

Answer:

C.

It can be read as...

".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."

No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.

I hope this helps you!

given the circumference of circle b is 85 ft . what is the arc lenght of arc ADC?and the lenght of arc Ac​

Answers

Answer:

Length of arc AC = 10.6 ft

Length of arc ADC = 73.4 ft

Step-by-step explanation:

θ = 45°

Circumference = 85 ft

✔️First, find the radius:

Circumference of a circle = 2πr

Thus:

85 = 2πr

Solve for r

Use 3.14 as π

Divide both sides by 2π

85/2π = r

85/2*3.14 = r

85/6.28 = r

r = 13.5350318 ≈ 13.5 ft (nearest tenth)

✔️Find length of arc ADC:

Length of arc = θ/360 × Circumference of the circle

θ = 360 - 45° = 315°

Circumference = 85 ft

Plug in the values

Length of arc ADC = 315/360 × 85

= 74.375 ≈ 73.4 ft (nearest tenth)

✔️Find length of arc AD:

Length of arc = θ/360 × Circumference of the circle

θ = 45°

Circumference = 85 ft

Plug in the values

Length of arc AC = 45/360 × 85

= 10.625 ≈ 10.6 ft (nearest tenth)

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