A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes

Answers

Answer 1

Answer:

The following are the answer:

In option a  "No".

In option b  "Yes".

Step-by-step explanation:

In choice a:

Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.  

It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.

In choice b:

we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.


Related Questions

please help, I've tried learning this multiple times but just can't get it down

Answers

1) n times n times n times n times n times n

2) n^6

Brainliest?

convert to gallons 40 quarts

Answers

Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

The answer would be 10 gallons

What is the solution of 3x + y = 9 and 3x - 5y = 15?
OA 1 = 10 y = -1
B.
r = g y = 1
10
C. I = -1. y = 5
OD. x = 1, y = 2
COICO

Answers

Step-by-step explanation:

3x + y = 9

3x − 5y = 15

Solve with elimination.  Subtract the second equation from the first.

6y = -6

y = -1

Plug into either equation to find x.

3x + -1 = 9

3x = 10

x = 10/3

Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?

Answers

Answer:

53

Step-by-step explanation:

Find the distance between the points (-3,-6) and (-3,-2)

Answers

Answer:

The answer is

4 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-6) and (-3,-2)

The distance is

[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

4 units

Hope this helps you

Answer: the answer is 4 units

Explanation: it is 4 units because since they are both on the x axis and 6 - 2 is equal to 4. It’s four units.

6. How many 1/2 hour periods will make up 4 hours?

Answers

Answer:

8 1/2 hour periods will make up 4 hours.

Step-by-step explanation:

half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.

hope this helps! best of luck <3

How is this number read out loud 0.034

Answers

Answer:

0.034

Step-by-step explanation:

thirty-four thousandths

or

zero point zero three four

PLEASE HELP
Twice a number n is at least 30

Answers

Answer: n = 15

Step-by-step explanation: 2x15 = 30

Answer:

15

Step-by-step explanation:

15 times 2 is 30. Therefore, 15 can be the correct answer!

Please mark me brainliest if I helped you! Thank you so much!

:)

An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t)=0.05t^2 + 0.1t + 3.4 parts per million. By approximately how much will the carbon monoxide lvel change during the coming 6 months?

Answers

Answer:

3.4625

Step-by-step explanation:

Given the equation:

Q(t)=0.05t^2 + 0.1t + 3.4 parts per million

Where t = time in years

By approximately how much will the carbon monoxide lvel change during the coming 6 months?

t = 6 months = 6/12 = 0.5 year

Q(0.5) = 0.05(0.5)^2 + 0.1(0.5) + 3.4 parts per million

Q(0.5) = 0.05(0.25) + 0.05 + 3.4

Q(0.5) = 0.0125 + 0.05 + 3.4

Q = 3.4625

Carbon monoxide level will change by approximately 3.4625 parts per million in 6 months

nobody can answer this by their own part 4​

Answers

Man you must be really smart

Answer:

28 days

Step-by-step explanation:

Day 1  = 3 m,  day 1 end = 3 - 1 = 2 m

Day 2 end = 2 + 3 -2 = 3m

Day3 end = 3 + 3- 2 = 3 +1 = 4m

On 27th day end = 26+ 3 - 2 = 27 m

On 28th day =27 + 3 = 30 m

Is the open sentence8−4x=4x true or false when x = 0? A.True B.False

Answers

Answer:

b.False it equals x=1

When x = 0, 8 - 4x = 4x is not true.

What is the quotient?
5^-6
5^3

Answers

Step-by-step explanation:

1/5^(3+6)= 1/5^9

the solution

Step-by-step explanation:

1/5^(3+6)=1/5^9

the solution

find the measure of angle E

Answers

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

what is the expression equivalent to 5(6+4)​

Answers

Answer:

2(15+10)

Step-by-step explanation:

when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.

Answer
50
How to get it
So start to add in the parenthesis 6+4 is 10
Then erase the parentheses since we got the answer but turn it into an multiplication sign
5 times 10 is 50
Hope this helped :)

Quick I need help, it states what polygon is shown by the street sign

Answers

I’m pretty sure it’s just asking what shape each sign is.

One way is a rectangle
I can’t tell if the do not enter is a circle or square... maybe you can see it better
Stop is an octagon
etc...

Tutoring Services: Suppose that 40% of community college students never use tutoring services available at their college. Suppose we randomly select samples of community college students. For each sample we calculate the proportion who do not use tutoring. If we randomly sample 500 students at a time, what will be the mean and standard error of the sampling distribution of sample proportions

Answers

Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

Step-by-step explanation:

Formula : Mean  of the sampling distribution of sample proportions

[tex]\mu_p= p[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]

, where p = population proportion

n= sample size

Here, p =0040

n= 500

So , Mean  of the sampling distribution of sample proportions

[tex]\mu_p= 0.40[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]

Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

A florist has 49 red roses and 63 white roses. The florist wants to put an equal number of red roses in each centerpiece, along with an equal number of white roses in each, using all the flowers. What is the greatest number of centerpieces the florist can make, and how many of each flower will they have?

Answers

7..
49 can be equally divided by seven, which means there would be 9 red roses in each center piece. And 63 can be equally divided by 7 which means there would by 7 white roses in each center piece.
hope this helps

Number of red roses a florist has = 49

Number of white roses a florist has = 63

To find the number of centerpieces with equal number of white and red roses we will find the greatest common factor of both the numbers,

49 = [tex]7\times 7[/tex]

63 = [tex]7\times 9[/tex]

GCF of 49 and 63 = 7

Therefore, number of centerpieces = 7

Now divide the total number of red roses by GCF to find the number of red flowers in each centerpiece.

Number of red roses in each centerpiece = 7

Similarly, number of white roses in each centerpiece = 9

Learn more,

https://brainly.com/question/9827618

Evaluate 5^-4. Write your answer as a fraction in simplest form

Answers

Answer:

exact form = 1/625

decimal form = 0.0016

The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

From the question,

We are to evaluate 5^-4.

First, we will write the expression properly.

The given expression is 5⁻⁴

Now, we will write the expression as a fraction

From one of the laws of indices, we have that

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

Therefore,

[tex]5^{-4} =\frac{1}{5^{4} }[/tex]

In simplest form

[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]

Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

Learn more on simplifying expressions here: https://brainly.com/question/12985890

10. Use Structure What could be a first step to
solving the equation 3x + -0.5(x + 3) + 4 = 14?
Explain.

Answers

First distribute -0.5 to x and 3 giving you the new equation 3x + -0.5x-1.5

You have 2.5 pounds of egg whites
You need 37 ounces to make one serving of consommé
How many servings can you make?

Answers

You can only make 1 serving, because 2.5 pounds equals 40 ounces and you need 37 ounces to make 1 serving.

If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?

Answers


AB=12 because it is half of it

When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin, Alex, is 20 3/4 inches. How much longer than Maddy is Alex?m

Answers

Answer:

2 1/4 inches longer

THE CORRECT ANSWER IS 2 1/4. hope this help



give
given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.

part A: (-4,7);m=-3/4

Answers

Slope intercept form needs two things. The slope and y-intercept.

y = mx + b

m = the slope

b = y-intercept.

In this problem, we are given the slope and a point the line passes through.

m = -3/4

So far we have y = -3/4x + b

To find b, we need to plug the point into the line.

-4 is the x-coordinate, so we plug -4 into x

7 is the y-coordinate, so we plug 7 into y

7 = -3/4(-4) + b

Simplify.

7 = 3 + b

Subtract 3 from both sides.

4 = b

Our equation is: y = -3/4x + 4

The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is  y = (-3/4) x + 4.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

(-4,7);m=-3/4

The equation of a linear line in point-slope point is given as,

y = mx + c

Put (-4,7);m=-3/4

7 = -3/4 (-4) + c

c = 7 - 3 = 4

Thus equation will be as, y = (-3/4) x + 4

Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

Lupe has 500 Mexican pesos. If 1 U.S. dollar equals 12.87333 pesos, about how many dollars can Lupe buy for her pesos?

Answers

Answer:

the answer is C. $38.84

Step-by-step explanation:

Ivan sold 51 boxes of oranges on Friday and 29 boxes on Saturday during a citrus sale. There were 10 oranges in each box. How many oranges did he sell in all??

Answers

Answer:

800 oranges

Step-by-step explanation:

51 x 10 = 510

29 x 10 = 290

510 + 290 = 800

Solve 3(x - 1) + 2 = 5x + 6, Answer is a decimal round to the hundredth (2 digits) or use / for fraction bar.

Answers

Answer:

x=-3.5

Step-by-step explanation:

3(x-1)+2=5x+6

3x-3+2=5x+6

3x-1=5x+6

3x-5x=6+1

-2x=7

[tex] - \frac{7}{2} [/tex]

x=-3.5

Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.​

Answers

Answer:

2+2x=y  

Step-by-step explanation:

We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y  

Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.​

Answers

Answer: The infinite geometric series converges to 38.4

====================================================

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

Answer:

Top is right

Step-by-step explanation:

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Answers

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area = x + 4

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

Given:

The area of rectangle is 8 times greater than the area of the triangle.

Solution:

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

Answer:

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = [tex]\frac{1}{2}bh[/tex]

                          [tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

h(x)= -x^2+3x for h(-3)

Answers

i believe the answer is -18.
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