in problems 17–20 the given vectors are solutions of a system x9 = ax. determine whether the vectors form a fundamental set on the interval (−`, `).

Answers

Answer 1

In order to determine whether the given vectors form a fundamental set on the interval (-∞, ∞), we need to consider the concept of linear independence. A set of vectors is considered linearly independent if no vector in the set can be expressed as a linear combination of the others.

To determine whether the given vectors form a fundamental set, we need to check whether they are linearly independent. This can be done by forming a matrix with the given vectors as columns and then finding the determinant of the matrix. If the determinant is non-zero, then the vectors are linearly independent and form a fundamental set.

However, since the given system x9 = ax is not a differential equation, we cannot directly apply this method. Instead, we need to check whether the given vectors satisfy the conditions of linear independence. This can be done by checking whether the vectors are linearly independent using standard linear algebra techniques.

If the given vectors are linearly independent, then they will form a fundamental set on the interval (-∞, ∞). However, if they are linearly dependent, then they will not form a fundamental set, and we would need to find additional solutions to the system in order to form a fundamental set.

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Related Questions

Whoever get this right, gets a free hamster

Answers

Answer:

it's C

Step-by-step explanation:

pink or purple hamster plz :D

omg paint strips, that's the way to go

will give brainliest-need asap- real answers only or you will be reported

Answers

Answer:

33

Step-by-step explanation:

The greatest common factor is 3 and the least common multiple is 30.

30 + 3 = 33

Answer: C

Step-by-step explanation: 30

Find all x-values for which f ( x ) = 2 for the function below.

{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 1 ), ( 2, - 3 ) }
how would i solve this please help

Answers

Answer:

x = -3

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

A school custodian discovered a leak in a water pipe. The custodian found that 2,432 fluid ounces of water had leaked out. How many gallons of water is​ this? Use the conversion factor 1 gallon 128 fluid ounces.

Answers

Answer: 19 gallons

Step-by-step explanation:

Conversion factor is 1 gallon is to 128 fluid ounces.

If 2,432 fluid ounces leaked out, to find out the amount of gallons this was, you need to divide the fluid ounces by the number of fluid ounces in a gallon. This is what is done when moving from a smaller unit to a larger one.

= 2,432 / 128

= 19 gallons

If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.

Answers

Answer:

x = 6

y = 13

Step-by-step explanation:

since DE and JK are congruent, they are both 18

to find 'y':

3y - 21 = 18

3y = 39

y = 13

DF and JL are diagonals that are congruent so:

9x - 23 = 7x - 11

2x = 12

x = 6

X=6 Y=13 values of x and y

in a survey of 1500 people who owned a certain type of car, 1050 said they would buy that type of car again. what percent of the people surveyed were satisfied with the car?

Answers

Answer:

70%

Step-by-step explanation:

Since 1050 were satisfied.....1050/1500=.7 tun into percent u get 70%

PLS HELP QUICK!!
Simplify. 5^-1 (3^-2)
a. 45
b. 1/45
c. 15^-3
d. 15^2

Answers

Answer:

option B: 1/45

Step-by-step explanation:

option B isthe correct answer of this question.

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hope this will be helpful to you.

Step-by-step explanation:

hope this will help you.

You're given a side length of 8 centimeters. How many equilateral triangles can you construct using this information

Answers

Answer:

1 equilateral triangle

Step-by-step explanation:

Given

Shape: Equilateral Triangle

Side length = 8cm

Required

Determine the number of triangles

From the question, we understand that the triangle is equilateral and the length of a side is 8cm.

This implies that the length of other sides will also be 8cm.

So, only one triangle can be constructed and their side lengths is 8cm.

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

The population grew by 12600 people.

Step-by-step explanation:

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

The population grow from 2010 to 2015 is 12600

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total population in 2010 = 180000

From 2010 to 2015, the population grew by 7%.

Then, the population grew from 2010 - 2015

= 7% of 180000

= 7/100 x 180000

= 7 x 1800

= 12600

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Which terms can be combined in the expression below? Select three options.


PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b

Answers

Answer:

This doesnt make sense

Step-by-step explanation:

There is some tea in three teapots. | Teapot A Teapot B Teapot C 420 ml 490 ml 707 ml What is the simplest ratio of tea in teapot A to B to C? Your answer should be in the form 420:490:707.​

Answers

Answer:

esa es la abc de jaja XD nose porque digo esto solo quiero puntos ._.XD

6:7:10.1 I just divided them all by 70

Find a coterminal angle to 626 degrees

Answers

Answer:

266

Step-by-step explanation:

16 üssü 5 sayısının 1 ➗ 8 i kaçtır? ​

Answers

Answer:

The answer is 131072

Step-by-step explanation:

[tex] \frac{1}{8} \times {16}^{5} = 131072[/tex]

Construct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm
and AC = 7 cm​

Answers

Answer:

Cevap A şkkı

İyi dersler

What is the equation of this trend line? Enter answers by filling in the box

Answers

Answer:

N= 110 M+ 55?

I'm just trying my best to help you

help today hi have to finish this and I have like 21 more assignments to go

Answers

Answer:

Characteristics? I don't know

Step-by-step explanation:

Answer:

I'm answering so you can give him brainliest!

Step-by-step explanation:

1.45x + 1.25y =70.85

x + y = 53

Answers

Answer:

Your answer is

y= 30

x= 23

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Answer the photo below thanks

Answers

Answer:

6x60=360

Step-by-step explanation:

60

Vinay bought a flat for ₹ 4,50,000. He spent ₹ 10,000 on its paintings and repair. Then he sold it for ₹ 4,25,500. Find his gain or loss and also its percent.​

Answers

Step-by-step explanation:

hence you got the answer

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

can u guys plzzzzzzzzzzzz help

Answers

Answer: p =2

Step-by-step explanation: Look at how many people I helped, trust me

3/4x+3-6/2x-1 algebric fractions

Answers

Answer:

-9x-8/4

Step-by-step explanation:

The answer would be -9/4x+2

Hope this helps

Have a great day/night

Feel free to ask any questions

Which expression is equivalent to (1/16)^-4

Answers

Answer: =65536

Step-by-step explanation: hope this help

Answer: There are a few but: (-16)^4 is my first anwser.

Step-by-step explanation:

If you have a negative number in the parathesis you'll usually make it 1 over the number in this case 1/16 can be written as -16. That way the negative 4 can become positive four once you change the 1/16 to -16.

I hope that makes sense.

72 paper clips to 63 paper clips

Answers

Answer:

72-63=9

9/72=13%

13% IS .13 SO TENTH IS .1

I AM NOT SURE ABOUT THE TENTH

Step-by-step explanation:

Find x and y

(45-45-90 formula)

(It’s not 5.6 for x and y I got that wrong)

I’ll mark as brainliest!!

Answers

Answer:

x = y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex]  , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )

8 × cos45° = x , then

x = 8 × [tex]\frac{\sqrt{2} }{2}[/tex] = 4[tex]\sqrt{2}[/tex]

The third angle in the triangle = 45° ( sum of angles in triangle )

Then the triangle is isosceles with congruent legs, thus

x = y = 4[tex]\sqrt{2}[/tex]

Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.

Answers

Well I got

x = 35 - 9.50

best answer will get brainlist

Answers

Answer: 482x-4y%742

Step-by-step explanation: if you put the compexules and then you suntract then times the sublactus

can someone help me pleaseee :)

u have to make the questions become y = mx + b

Answers

Answer:

3. 8y= -7x -12

4. -3y= 4x -12

5. 7y= -2x +4

Do you want me to do the rest?

did you got it??

The rest are:

6. -3y =6x +12

7. -10y= 5x+20

8. 4y=2x +12

URGENTTT PLEASE HEEEEELP​

Answers

Answer:

1)

M: 15

T: 14

W: 19

Th: 20

F: 9

Sa: 9

Su: 5

2) 18 degrees

Step-by-step explanation:

Write 7,062.01 in expanded form

Answers

7000+60+2+.01=7062.01

Help me please!! An emergency!!

A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.

Thank you!

Answers

Given:

A polynomial equation with rational coefficients has the roots   [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].

To find:

The two additional roots.

Solution:

According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.

It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.

By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.

Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].

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