All vectors and subspaces are in RnR n. Mark each statement True or False. Justify each answer.
a. Not every linearly independent set in RnR n is an orthogonal set.
b. If y is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix.
c. If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal.
d. A matrix with orthonormal columns is an orthogonal matrix.
e. If L is a line through 0 and if ˆyy^ is the orthogonal projection of y onto L, then ∥ˆy∥∥ y^ ∥ gives the distance from y to L.

Answers

Answer 1

Answer:

a. True

b. True

c. False

d. False

e. False

Step-by-step explanation:

The matrix with orthonormal column must be in square for that it forms orthogonal matrix. Every orthonormal set of non zero vector is linearly independent. This statement is correct because there is linear combination of non zero vectors.


Related Questions

A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.

Answers

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Give the opposite of the number 0

Answers

Answer:

-0

Step-by-step explanation:

0








Bbsjjxndhfmdndmxjfndjfmd

Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes. A' (​ ​, ​ ​) B' (​ ​, ​ ​) C' (​ ​, ​ ​) D' (​ ​, ​ ​) A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair

Answers

Answer:

Step-by-step explanation:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Answer:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Step-by-step explanation:

The Parkers are getting a new pet. Alan wants a cat, but his sister Jessica wants a dog. Both want a fair method to determine who gets to

choose the new pet.

Alan devised a method using the given spinner

• They will spin the arrow twice and record the outcomes.

. If the product of the outcomes is even, Alan gets to choose the new pet.

• If the product of the outcomes is odd. Jessica gets to choose the new pet.

Answers

Answer:

D I think

Step-by-step explanation:

because each choice has a 25% chance to land and there are 2 evens so the chances are a 50% to a 50%

The sampling method isn't fair, it can be resolved by using the sum of the two outcomes rather than he product.

What is sampling?

It should be noted that sampling simply means a process whereby a number of observations are taken from the population.

In this case, the sampling method isn't fair, it can be resolved by using the sum of the two outcomes rather than he product.

Learn more about sampling on:

https://brainly.com/question/24666382

casssssssssssssssssssssss

Answers

Answer:

casidy from fanf ?!?!

Step-by-step explanation:

A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.

Answers

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

What is Ferris wheel?

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

What is the standard equation of the circle?

The standard equation of the circle is

[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

Find out more information about equation of the circle here:

https://brainly.com/question/10618691

#SPJ3

is this right??? if not helpp

Answers

Yupz u b right cuz 8+9 is ur answer Don’t be so hard on yourself take it easy


question is in the image I put!



Answers

The value for x is 6

Solve the following equation for x. x^2 - 36 = 0
A. x=1 x=-36
B. x=-1 x=36
C. x=-6 x=6
D. x=-18 x=18

Answers

Answer:

The answer is C.x=6,x=-6

Step-by-step explanation:

Greetings!

x²-36=0x²-36+36=0+36.. add 36 both sidesx²=36... simplify

An assumption

"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."

Thus,

x=36, x= -36x=6, x=-6

25 POINTS AND BRAINLIEST 6. Consider the following figure.
Part A: Determine the PERIMETER of the figure above.
Part B: Determine the AREA of the figure above.

Answers

Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2

Step-by-step explanation:

We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.

Answer:

Perimeter: 95+15*sqrt(3)=120.98

Area: ([45*sqrt(5)]/2) + 600=605.3

Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF

Answers

Answer:

k =  6 : 5 : 4

Step-by-step explanation:

BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4

EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4

How many halves are in 3 1/4

Answers

Hello!
The answer is 6.25.



There are 6 halves.

Have a good day!

como usar a camera frontal do nokia?

Answers

Answer:

Toque para cambiar a la cámara frontal.

Step-by-step explanation:

Answer: Uhhh if do you want to ask a question go to the bottom right corner and click the + and then you can use the camera.

The box plot below shows the heights, in inches, of the 24 students in Brandon’s
homeroom.

47 5149 55 57 61 53 59 63 65 67 69

Select all the statements that describe the class according to the box plot.
A 50% of the students are less than 62 inches tall.
B The tallest student is 69 inches tall.
C 50% of the students are at least 56 inches tall.
D 25% of the students are less than or equal to 53 inches tall.
E There is a range of 9 inches in the heights of the students.
F 25% of the students are greater than 62 inches tall.

Answers

The answer is B 50% correct me if I’m wrong

Help 9-11 thank you !

Answers

Answer:

9 - 11 = -2

Step-by-step explanation:

Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:

9 + 2 = 11

9 - 11 = (-2)

Your Welcome :)

Alternate interior angles. if you are good at that help ​

Answers

Answer:

hi

Step-by-step explanation:

i think so,

(5x-54)⁰=(3x+16)⁰

5x-3x=16+54

2x=70

x=35⁰

3x+16=3×35+16=121

5x-54=5×35-54=121

hope it helps

have a nice day

Answer:

x = 35

The angles measure 121°

Step-by-step explanation:

Alternate interior angles are congruent. So,

3x + 16 = 5x - 54

16 = 2x - 54

70 = 2x

x = 35

Now, to find the angle measures, just plug in the value for x.

3(35) + 16 = 121°

5(35) - 54 = 121°

Which rational number represents a decrease in water level from 8 feet to 6 feet?

A.
6

B.
2

C.

2
D.

6

Answers

Answer:

C

Step-by-step explanation:

The pupils in my class work very quickly. Jasleen answers four questions every
30
seconds and Ella answers five questions every
40
seconds.

Last week, Jasleen took exactly
1
hour to answer a large set of questions.

How many minutes more than Jasleen did Ella take to answer the same set of questions?

Answers

Answer:

4 mins more would be  taken by Ellina

Step-by-step explanation:

Given that

Jasleen answers 4 questions every 30 seconds

And, Ella answers 5 questions every 40 seconds

And, last week Jasleen took exactly 1 hour for answering a large set of questions

We need to find out the number of more minutes taken by Ella

As Jasleen answers four questions every 30 seconds

So, Jasleen answers  8 questions for every 1 minutes

Now

Jasleen answers time taken

=  60 × 8

= 480 questions for every 60 minutes  or 1hr

On the other hand

Ella answers five questions every 40 seconds.

So, 1 questions in 8 sec

Now for 480 Questions , it would take

= 480 × 8 secs

= 480  × 8  ÷ 60  min

= 8 × 8

= 64 mins

Hence 4 mins more would be  taken by Ellina

A student takes the same street from his home to the university every day. There are 3 streetlights along the way, and he has noticed the following Markov dependence. If he sees a green light at an intersection, then 77% of time the next light is also green. However, if he sees a red light, then 77% of time the next light is also red. (Assume the chance of him seeing a yellow light is zero.) If the first light is green, what is the probability that the third light is red

Answers

Answer:

0.3542 = 35.42% probability that the third light is red

Step-by-step explanation:

For each light:

If it is green, 77% probability that the next is green.

If it is red, 77% probability that the next is red.

If the first light is green, what is the probability that the third light is red?

These following outcomes are desired, for the second and third lights:

G - R(0.77, then 1 - 0.77 = 0.23 probability)

R - R(0.23, then 0.77 probability).

So the desired probability is:

[tex]p = 0.77*0.23 + 0.23*0.77 = 0.3542[/tex]

0.3542 = 35.42% probability that the third light is red

$1234 is invested at 5.6% annual interest for 7 years.
a. Simple Interest b. Compound Interest

Answers

Answer:

A)  $1,717.73.

B)  $1,807.02.

Step-by-step explanation:

Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:

A)

1234 + ((1234 x 0.056) x 7) = X

1234 + (69.104 x 7) = X

1234 + 483.728 = X

1717.728 = X

Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.

B)

1234 x (1 + 0.056) ^ 7 = X

1234 x 1.056 ^ 7 = X

1234 x 1.464 = X

1,807.02 = X

Therefore, applying compound interest, the sum would become $ 1,807.02.

I dont understand
NOOOOO LINKSSSSSS

Answers

Answer: 4.40

Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11

so 4.40x2.5=11

The following table lists the frequency distribution for 60 rolls of a die.
Outcome
1-spot 2-spot 3-spot 4-spot 5-spot 6-spot
Frequency 10
12
10
10
13
5
Test at the 5% significance level whether the null hypothesis that the given die is fairns true.
False
True

Answers

Answer:

False.................

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

False.

ThanksHope it helps

What is factor for 7x^2-21-280

Answers

7x^2 − 21 −280
= 7x^2 + −21 + −280

Then combine like terms:
= 7x^2 + −21 + − 280
= (7x^2) + ( − 21 + − 280)
= 7x^2 + −301
7

2

2
1

2
8
0
7
x
2

21

280
7x2−21−280
7

2

3
0
1

what is a easier way to solve fractions ​

Answers

Answer: hewo, there! I hope I Made it easier to Understand

the first method is to equally divide the top and bottom of the fraction by whole numbers larger than 1 until you cannot go any further. As an example, let's take the fraction 24/108: Divide each number by 2 to get 12/54. Divide by 2 again to get 6/27

Step-by-step explanation:

To work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction

Hope this helps you!!

Have a great day!!!


Volume of Prisms
1. A pool in the shape of a rectangular prism is being filled with water. The
length and width of the pool is 24 feet and 15 feet. If the height of the water
in the pool is 1 &1/3feet, what is the volume of the water in cubic feet?

Answers

Answer:

the answer is 480 cubic feet

Please help me ASAP please

Answers

Answer:35 answer

Step-by-step explanation:75-40=35

Answer:35

Step-by-step explanation:

40+T=75

Or

75-40=35

Betsy spent 26 days traveling in Europe. How many weeks and days did Betsy
travel in Europe?
A. O 2 weeks 6 days
B. O 3 weeks 5 days
c. O 4 weeks 2 days
D. O 5 weeks 1 day

Answers

Answer:

3 weeks 5 days

Step-by-step explanation:

A week is 7 days

26/7 = 3 remainder 5

3 weeks 5 days

Geraldo earns $505 from his summer job and deposits it in a savings account that earns 4% simple interest. After 3 years, he moves all his money to another savings account at another bank that earns 6.5% simple interest. What formula below can be used to calculate Geraldo’s total interest earnings after 7 years?

Answers

Answer:

Step-by-step explanation:

No files plz help with answer

Answers

Answer:

20°

Step-by-step explanation:

60 = (x + 40) (opposite angles are equal)]

x = 60 - 40 = 20°

Answer:

=> x = 20°

Step-by-step explanation:

here's your solution

==> both are vertical angle ,so both are equal

==> 60° = x + 40°

==> - x = -60° + 40°

==> - x = - 20°

==> x = 20°

[tex]hope \: it \: helps[/tex]

help me please thank you​

Answers

......... what even is the question?????

Answer:

30

Step-by-step explanation:

you just simply add all numbers then the two thtas there beside the box add it with all the numbers and you get 3mm

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