Finding a least-squares solution 1 1 1 -1 0 Let A= and be We want to find the least squares solution of Ax = b. -1 The normal equations corresponding to Ax = b are Â= Therefore the least squares solution of Ax = b is À= ? Using the least square solution, we compute the projection projcol(A)(b) of b onto Col(A): þ =

Answers

Answer 1

To find the least-squares solution of Ax=b, we can use the normal equations A^T Ax = A^T b. In this case, A is given as 1 1 1 -1 0 and b is not given. Therefore, we cannot compute the exact least-squares solution. However, assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain the least-squares solution À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.

The least-squares solution of Ax=b is the vector À that minimizes the distance between Ax and b in the Euclidean sense. This solution can be obtained by solving the normal equations A^T Ax = A^T b. In this case, we have A = 1 1 1 -1 0 and we need to find b. Since b is not given, we cannot compute the exact least-squares solution. However, assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.

To find the least-squares solution of Ax=b, we can solve the normal equations A^T Ax = A^T b. In this case, we have A = 1 1 1 -1 0 and we need to find b. Assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain the least-squares solution À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.

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Related Questions

6. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!


Write a rule for the linear function in the table.


X F(x)

1 -7

2 -10

3 -13

4 -16



A. f(x) = -3x - 4

B. f(x) = x - 7

C. f(x) = -1/3x - 4

D. f(x) = 3x + 4

Answers

Answer:

I think the answer is B. f(x) = -1/3x - 4

Step-by-step explanation:

Use the given functions to set up and simplify  

4−16.

XF(x)=X

Fx

1 − 7 = −6

2 − 10 = −8

3 − 13 = −10

4 − 16 = −12

Please hellppp meeeee

Answers

Answer:

Slope = -1

Explanation:

Basically, your rise will be going 1 box up (an arrow upwards) and your run would be 1 box to the left (an arrow to the left). This will give you :-

1/-1 = -1

Hope this helps, thank you :) !!

Answer:

-4/3

Step-by-step explanation:

Draw a rhombus with diagonals 4 and 6. What is the area of the rhombus?

Answers

first of all you have to draw a rhombus

area (d+d)/2

(4+6)/2

5

A number, n, decreased by 5, is equal to 3 times the number plus 1. Determine the number.

Answers

Answer:

-3

Step-by-step explanation:

A number, n, decreased by 5:   n - 5

3 times the number +1 = 3*n + 1 = 3n + 1

3n +1 = n -5

Subtract 1 from both sides

3n = n - 5 - 1

3n = n - 6

Subtract 'n' from both sides

3n - n = -6

      2n = -6        {Divide both sides by 2}

       n = -6/2

      n = -3

The number = - 3

Find the median:51,53,49,51,53,50,54,56​

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

49, 50, 51, 51, 53, 53, 54, 56

the middle are (51,53) and when u have 2 numbers in the middle u add them up and divide by two which gives us 52:)

Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are _________. *
2 points
Equal to each other
Equal to 90°
Equal to 180°
Equal to 360°

Answers

Answer:

[tex] \boxed{ \large{ \underline{\tt{Equal \: to \: each \: other}}}}[/tex]

Step-by-step explanation:

When two lines interesect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ V.O.A ] are always equal to each other.

Refer to the attachment! In the given figure , [tex] \angle[/tex] p and [tex] \angle[/tex] s are opposite to [tex] \angle[/tex]r and [tex] \angle[/tex]q respectively. Therefore [tex] \angle[/tex]p and [tex] \angle[/tex]r are vertical angles. Similarly , [tex] \angle[/tex]s and [tex] \angle[/tex]q are also vertical angles.

Hence , Our final answer : Vertical angles are a pair of opposite angles made by two intersecting lines and the angles are equal to each other .

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# [tex] \underbrace{ \large{ \tt{Carry \: On \: Learning}}}[/tex] !!▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Which decimal is largest?
0.49
0.45
0.48

Answers

Answer:

0.49

Step-by-step explanation:

Answer:

0.49

Step-by-step explanation:

its 0.01 larger than 0.48

its 0.04 larger than 0.45

solve CORRECTLY for brainly and 20 points

Answers

Answer:

k/4 + 3 = 14

k = 44

Step-by-step explanation:

Step 1: k + 12 = 56

Step 2: k = 56 - 12

Step 3: k = 44

Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44

Answer:

The answer are

t=4

f=4

e=2

k=44

a=-4

n=11

Help please........... ​

Answers

Answer:

18

Step-by-step explanation:

3 x 6=18

** PLEASE ANSWER I’L GOVE YOU BRAINLYLIST**

Answers

Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.

A line passes through point (-2, 5) and has a slope of 5/2.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.

Answers

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

find the slope of the line​

Answers

Answer:

A) 2

Step-by-step explanation:

Maybe Answer:

D) -1/2

Which is an example of a function?


the distance to school and the time you spend at school

the price of a piece of cloth and the length of the cloth

the price of a movie ticket and the height of the customer

the time it takes to mow a lawn and the age of the person mowing the lawn

Answers

Answer:

The price of a piece of cloth and length of cloth.

Step-by-step explanation:

A function must be measurable, attainable, and reasonable and the variables must complement each other

Measuring the distance to and time spend at school doesnt complement each other

The price of a movie ticket doesn't change based on height

Mowing a lawn doesnt matter how old you are

The price of cloth can change based on how long or short the cloth is.Shorter clothes are cheaper, while Longer clothes are more expensive.

Answer:

The example of a function is:

 The price of a piece of cloth and the length of the cloth.

Step-by-step explanation:

We know that a function is a relation in which each element of a set is mapped to a single element of the other set.

i.e. an element has just one image.

1)

The time it takes to mow a lawn and the age of the person mowing the lawn.

This is not a example of function since, the time taken by two person's of different age may be same to mow a lawn.

This means that there is  more than one image of a single element i.e. time.

2)

The distance to school and the time you spend at school.

The time one spend at school at different days may be different even if the distance to school is same.

3)

The price of a movie ticket and the height of the customer.

Two person's with different height will buy a movie ticket at the same cost.

Hence, this relation won't be a function.

4)

The price of a piece of cloth and the length of the cloth.

As we know that the price of a cloth is fixed according to the length.

Hence, the relation is a function.

( As corresponding to each price we have a unique length if a piece of clothing )

what is the answer to (13x+30)-(20x+6)

Answers

Answer:

-7x + 24

Explanation:

(13x + 30) - (20x + 6)

13x + 30 - 20x - 6

-7x + 30 - 6

-7x + 24

Write the inequality in words.

5n – 10 > 26

Ten less than five times a number is greater than twenty-six.

Ten less than a number is less than or equal to twenty-six.

Five times n less than ten is twenty-six.

Ten plus five times a number is less than or equal to twenty-six.

Answers

Answer:

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n

>

36

/5

Interval Notation:

(

36

/5

,

)

Answer:

The Answer is, (A) Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

15 points + brnlist , need help asap!!! (with a picture)

Answers

Answer:

C

Step-by-step explanation:

According to my calculations Its c

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. Height of the clown

Answers

Answer:

t = 3.11 seconds

Step-by-step explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

[tex]h = -16t^2 + 45t + 15[/tex]

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

[tex]-16t^2 + 45t + 15=0[/tex]

We need to solve for t. It can be calculated as follows :

[tex]t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s[/tex]

So, the required time is 3.11 seconds.

Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?

Answers

Answer:

£2.4 is the anwser im pretty sure

Step-by-step explanation:

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Combine like terms.


38y + 15y =

Answers

Answer:

53y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

38y + 15y

38 and 15 are coefficients

y is a term

Since they are like terms, they can be combined

Step 2: Add

38 + 15 = 53

53y

A certain population is initially 8,951 but declines by 8% every second. Find an exponential formula that gives the population as a function of time. What will be the population after half of a minute?

Answers

9514 1404 393

Answer:

  734

Step-by-step explanation:

The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...

  p = 8951×0.92^t

When t=30, this evaluates to ...

  p = 8951×0.92^30 ≈ 733.68

The population after half a minute will be about 734.

a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.​

Answers

Answer:

1cm/20mi = 4cm/x

1x = 80

x = 80

The answer is 80 miles

A farmer has one square mile of land. If he divides his land into square fields that are 1/2 mile long and 1/2
[tex] \frac{1}{2} \times \frac{1}{2} [/tex]
wide, how many fields will he have?​

Answers

Answer:

1/4

Step-by-step explanation:

Enola is a waitress at a restaurant. Each day she works, Enola will make a guaranteed wage of $35, however the additional amount that Enola earns from tips depends on the number of tables she waits on that day. From past experiences, Enola noticed that she will get about $8 in tips for each table she waits on. How much would Enola expect to earn in a day on which she waits on 20 tables? How much expect to make in a day when waiting on t tables?

Answers

Answer:

1.  195

2.  Y= 8t +35

Step-by-step explanation:

Answer:

$195; y=8t+35

Step-by-step explanation:

You can make an equation to find out how much Enola earns a day:

y=8t+35 ––This shows that "y" is the earnings for the day, "8t" represents $8 per table, and the "+35" represents the guarenteed $35 a day.

To answer the first question, the replace t with 20: y=8(20)+35

y=160+35

y=195

*For the second answer, I would put the equation because you do not know the number of tables because it is unspecified.

***You can change the "y" to whatever if you need to

Kelsey put 6 gallons of water in the cooler. How many 1-pint water bottles can be filled from the water in the cooler?

Answers

Answer:

48 pints

Step-by-step explanation:

1 gal=8 pints

Hope this helps

Hello I need someone to help me answer 10 algebra 1 math test questions i will pay money after or give brainiest on each question I need it today!!

Answers

hello! i’m in algebra 2 and passed algebra 1 with a 97%. any chance i might be able to help you? i don’t want money for it tho

What is the volume of the following rectangular prism pls pls pls pls pls pls pls pls p

Answers

Answer:

Step-by-step explanation:

V = l * w * h

l = 2

h = 2

w = 7/3

Volume = 2 * 2 * 7/3 = 28/3 = 9 1/3 or 9.3333

1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3

branleast kpo ang sasagot neto

Answers

Answer:

C. 6x-2D. 5(y + 4)C. Twice the difference of m and 3.B. 3b - 10B. diminished bya numberB. (7/x) - 2A. (10-k)/4 = 2D. 4(12 + y) = 60D. more than= 60B. 8x- 13 = 3

1. "Six less than twice a murider."

A. 6 - 2x

B. 2x - 6

C. 6x-2

D. 2 - 6x

2. "Five times the sum of a number and four."

A. 5y + 4

B. 4(y + 5)

C. 5 + 4y

D. 5(y + 4)

3. Which is the correct translation of the given 2(m - 3)?

A. Twice difference of 3 and miste C. Twice the difference of m and 3.

6. Twice the sum of m and 3.6

D. Twice the sum of m and 3.

4. "Ten less than thrice the a number"

A. 10 - 3b

B. 3b - 10

C. 106 - 3

D. 3 - 10b

5. Given, m - 4, complete this: 4

A. minus

B. diminished by

a number

C. subtracted from

D. decreased by

6." The ratio of 7 and a number decreased by 2."

A. 7/(x-2)

B. (71x) - 2

C. 7X-2

D. 7 - 2/x

7. "The difference of 10 and k divided by 4 yields to 2."

A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2

D.K-10/4 = 2

8. "Four times the sum of 12 and y is equal to 60.

A. 4y + 12 = 60 B. 4 + 12y

C. 4(12) + y = 60 D. 4(12 + y) = 60

9. All of the following are correct except

2x + 4; Twice a pumber

A. increased by B. added to

C. plus

D. more than

= 60

10. "8 times a number decreased by 13 becomes 3."

A. 8x + 13 = 3 B. 86- 13 = 3

C. 13 - 8x = 3

D. 13 + 8x = 3

branleast kpo ang sasagot neto

Convert the following decimal to a fraction.

Answers

Answer: 7.15

Step-by-step explanation:

143

20

=7 and 3 over 207

3

20

=7.15

Answer:

7 12/10000

Step-by-step explanation:

FOUR FRIENDS SHARE 3 SHEETS OF PAPER EQUALLY.

WHAT FRACTION OF A SHEET OF PAPER DOES EACH FRIEND GETS?

SOLVE AND EXPLAIN

Answers

Answer:

[tex]\frac{3}{4}[/tex] of a sheet of paper

Step-by-step explanation:

Hi!

This isn't the easiest to explain with numbers but I'll do it with an example instead.

If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?

You would do [tex]\frac{60}{2}[/tex], right? Because you have 60 cookies and you're dividing it amongst 2 people.

It's the same idea here!

We take the number of sheets of paper, and we divide it by the number of people we have to share it with.

so we do  [tex]\frac{3}{4}[/tex]. You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well

I hope this made sense, let me know if you have any questions

Answer:

A

Step-by-step explanation:

What the rang of the following function is

Answers

Answer:

b

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

Other Questions
Solve each of these congruences using the modular in-verses found in parts (b), (c), and (d) of Exercise 5.a) 19x4 (mod 141)b) 55x 34 (mod 89)c) 89x 2 (mod 232) explain why the mr curve lies below the demand curve for a single-price monopolist. Pileated Woodpeckers (Dryocopus pileatus) excavate large ( >45 cm ) cavities in trees that they use for nests and roosts. Wood Ducks (Aix spons) also build nests in suitable tree holes, but cannot excavate their own cavities. Consequently, they frequently use nests of Pileated Woodpeckers. Based on this information, which of the following statements is correct? Wood Ducks are ecosystem engineers because they nest in cavities built by woodpeckers. Pileated Woodpeckers are ecosystem engineers because they excavate tree cavities that Wood Ducks use to build their nests. Pileated Woodpeckers are ecosystem engineers because they excavate tree cavities to build their own nests. Neither species is an ecosystem engineer by virtue of their nesting habit. The Warsaw Pact was developed in 1955 as a response to theA formation of the North Atlantic Treaty Organization.B start of the communist revolution in Cuba.C U.S. development of the hydrogen bomb.D UN intervention in Korea. PENSION FUNDS The managers of a pension fund have invested $1. 5 million in U. S. Government certificates of deposit (CDs) that pay interest at the rate of 2. 5%year compounded semiannually over a period of 10 years. At the end of this period, how much will the investment be worth? Assume all angles to be exact. Light passes from medium A into medium B at an angle of incidence of 36. The index of refraction of A is 1.25 times that of B.Is the angle of refraction 47? Individuals who are antagonistic unsympathetic and rude are said to be A low on from MGT 312 at University of Phoenix. Please check my answer just to be safe :)The diagram below shows the fossil record of bivalves over millions ofyears.The change observed in the fossil record supports which of the following statements?A) Species can change very little for a long time, and then undergo dramatic change over a relatively short period of time, followed by another long period of little change.B) Species can change drastically, multiple times, over very short periods of time.C) Species can change drastically for a short period of time, and then undergo very little change over a long period of time, followed by another short period of drastic change.D) Species can change gradually and consistently over a very long period of time. of 13 windup toys on a sale table, 4 are defective. if 2 toys are selected at random, find the expected number of defective toys. (see example 4. round your answer to three decimal places.) That quasars were at large cosmological distances yet appeared like ordinary faint stars meant... Group of answer choices they must be very small. they were the brightest stars ever observed. they must be very large. they must be producing very large quantities of energy. How do astronomers measure extreme cosmological distances? Group of answer choices Geometric parallax. Hubbles Law. Cepheid variable stars. Tully-Fisher correlation. If the average mass density of the Universe were half the critical density, and there were zero dark energy density, the Universe... Group of answer choices would expand forever. underwent rapid "inflation" during the first fraction of a second. would eventually stop expanding but not collapse. would eventually collapse. people will gain weight if their calorie intake exceeds the energy they are expending because the size and number of body fat cells in their _____ increases. Given a first string on one line and a second string on a second line, append the second string to the first string and then output the result. Ex: If the input is: Fuzzy bear !!! the output is: Fuzzy bear!!! Note: Using a pre-defined string function, the solution can be just one line of code I will give brainliest and ratings if you get this correct Use the drop-down menus to match the example to the correct audio-editing technique or term.combining a vocalists audio recording with a pianists audio recording cuttingcutting a section of an audio recording that is poor quality when the sound wave crosses the horizontal axis balancing a high-pitched soprano voice with a low-pitched alto voice removing the first 20 seconds and last 30 seconds of a song to eliminate unwanted sound slowly reducing the volume of a melody at the end of a song slowly increasing the volume of a melody at the beginning of a song fading out the end of a pop song, then fading in a mixed song containing classical harmonies and pop vocals Please help me with this problem. a wire 2.0 m long is suspended parallel to a uniform magnetic field of 0.50 t. if the current in the wire is 0.60 a, what is the magnetic force in n on the wire? The basal metabolic rate typically accounts for approximately of a person's total energy expenditure.A. 40%B. 80%C. 60%D. 10%E. 25% a neonatal nurse admits a preterm infant with the diagnosis of respiratory distress syndrome and reviews the maternal labor and birth record. which factors in the record would the nurse correlate with this diagnosis? select all that apply. A shirt manufacturer pays a worker $0.47 for each acceptable shirt inspected under the prescribed job description. If the worker had the following work record, find the gross earnings for the week: Monday, 250 shirts; Tuesday, 300 shirts; Wednesday, 178 shirts; Thursday, 326 shirts; Friday, 296 shirts The box plot shows the total amount of time, in minutes, the students of a class spend studying each day:A box plot is titled Daily Study Time and labeled Time (min). The left most point on the number line is 40 and the right most point is 120. The box is labeled 57 on the left edge and 112 on the right edge. A vertical line is drawn inside the rectangle at the point 88. The whiskers are labeled as 43 and 116.What information is provided by the box plot? (3 points) aThe lower quartile for the data bThe number of students who provided information cThe mean for the data dThe number of students who studied for more than 112.5 minutes