Ais an nx n matrix. Mark each statement below True or False. Justify each answer
a. If Ax = λχ for some scalar λ, then x is an eigenvector of A. Choose the correct answer below
A. False. The equation Ax-1x is not used to determine eigenvectors. If 1Ax-0 for some scalar λ, then x is an eigenvector of A.
B. True. If Ax-2x for some scalar λ, then x is an eigenvector of A because the only solution to this equation is the trivial solution.
C. False. The condition that Ax-1x for some scalar λ is not sufficient to determine if x is an eigenvector of A. The vector x must be nonzero
D. True. If Ax-λχ for some scalar λ, then x is an eigenvector of A because λ is an inverse of A.
b. If v, and v2 are linearly independent eigenvectors, then they correspond to distinct eigenvalues. Choose the correct answer belovw .
A. True. If v1 and v2 are linearly independent eigenvectors, then they correspond to distinct eigenvalues, because all eigenvectors of a single eigenvalue are linearly dependent.
B. False. There m ay be linearly independent eigenvectors that both correspond to the same eigenvalue
C. True. If v1 and v2 are linearly independent eigenvectors, then they correspond to distinct eigenvalues, because eigenvectors must be nonzero
D. False. Every eigenvalue has an infinite number of corresponding eigenvectors
c. A steady-state vector for a stochastic matrix is actually an eigenvector. Choose the correct answer below.
A. False. A steady-state vector for a stochastic matrix is not an eigenvector because it does not satisfy the equation Ax= 0
B. True. A steady-state vector for a stochastic matrix is actually an eigenvector because it satisfies the equation Ax = 0
C. False. A steady-state vector for a stochastic matrix is not an eigenvector because it does not satisfy the equation Ax x.
D. True. A steady-state vector for a stochastic matrix is actually an eigenvector because it satisfies the equation Ax= x

Answers

Answer 1

Answer:

If Ax-2x for some scalar λ, then x is an eigenvector of A because the only solution to this equation is the trivial solution.

Step-by-step explanation:

The eigen vector is linear transformation which is a  non zero vector which changes due to scalar factor. The eigen factor value is denoted by lambda. The eigen vector is a latent vector.


Related Questions

PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.
45°
X
30°
12

Answers

Answer:

Step-by-step explanation:

Sin(30) / X  = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12  ]   /  Sin(30)

flip both sides

X =  Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) *  12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex]/2

sin(60)= [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2    (aka 1)

note the numerators just counts up  0, 1, 2, 3, 4  :)  

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = [tex]\sqrt{2}[/tex]/2 at 45 °

anyway

X =  1 / 2 * 12/ [tex]\sqrt{2}[/tex]/2

X = 3[tex]\sqrt{2}[/tex]

A=3

B= 2

:)  nice , huh

Find the length and width of rectangle DMLG, and calculate its area.

PLZ CACULATE ITS AREA PLZ!!

Answers

Answer:240 square feet

Step-by-step explanation:length of rectangle DMLG

= DM = LG = (25 + 5) = 30 feet

width of rectangle DMLG

= ML = 8 feet

area of rectangle DMLG

= length × width

= 30 × 8

= 240 square feet

Answer: length of rectangle DMLG

= DM = LG = (25 + 5) = 30 feet

width of rectangle DMLG

= ML = 8 feet

area of rectangle DMLG

= length × width

= 30 × 8

= 240 square feet

wish that helped :)

Step-by-step explanation:

PLEASE ANY HELP I NEED HELP

Answers

Answer:

(3×6) -1+4

18+3

21 is your answer ☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

拜託華人救我
我完全不懂這問題
可以幫我嗎?
明天需要提出的作業
謝謝​

Answers

Answer: 謝謝

Step-by-step explanation:

MY
What is the radius and diameter of the following circle?

16 cm


Radius =
cm
Diameter =
cm

Answers

Answer:

the radius is 16 and the diameter is 32

Step-by-step explanation:

diameter is always radius times two

6cm
4cm
Determine the area of the composite figure to the nearest whole number.
A)
26 cm2
B)
38 cm
46 cm
D)
85 cm2

Answers

Answer:

A

Step-by-step explanation:

Area of the composite figure= 6cm×4cm

= 24cm²

PLEASE MARK BRAINLIEST.

Answer:

A

Step-by-step explanation:

I took the test

The table shows two samples of fish from a pond. If 400 fish are in the pond, which proportion represents the average number of bass you would expect to live in the pond?
(A)StartFraction 14 over 20 EndFraction = StartFraction x over 400 EndFraction
(B)StartFraction 7 over 20 EndFraction = StartFraction 400 over x EndFraction
(C)StartFraction 7 over 20 EndFraction = StartFraction x over 400 EndFraction
(D)StartFraction 20 over 40 EndFraction = StartFraction x over 400 EndFraction

Answers

Answer:

is C

Step-by-step explanation:

because if u do the problem and the fraction it will give u that answer

Answer:

monse856 is right

Step-by-step explanation:

Which of the following points would not lie on the line y=7
(1) (-2,7)
(3) (0,7)
(2) (7,-1)
(4) (5,7)

Answers

The answer is the point that does not have y equal to 7.

Note: (x, y) = (7, -1)

The point (7, -1) shows an x-value of 7 and a y-value of -1.

Answer: (7, -1).

Y= 5x +1
And
Y = x + 2

I need the graph

Answers

Answer:

2

Step-by-step explanation:

SO you add this

A number to the third power

Answers

squared is to the second power, cubed is to the third power "³"

someone help me with this plz

Answers

Answer:

Yes

Step-by-step explanation:

QM is parallel to NR so we can say

angle MQP = angle NRP and

angle QMP = angle PNR

(Alternate angles)

Question also shows that Line QM = Line NR

So the two triangles PMQ and PNR are congruent by Angle Side Angle (ASA)

Which is a perfect square?
6^1. 6^2. 6^3. 6^5​

Answers

Answer:

It should be 6^1.

Step-by-step explanation:

Because 6^1= 1 and 1 * 1= 1 which makes it a perfect square

:)

6^1 would be prefect I thin

I need help please :(​

Answers

Answer:

Brainliest??!!!

Step-by-step explanation:

If you have $55.80 deducted weekly for federal taxes and $29.21 for FICA, what will be the total amount you will pay for each of these for a year?

Answers

You multiply each number by the number of weeks in a year.

Federal taxes:

$55.80 x 52 weeks = $2,901.60 for the year

FICA:

$29.21 x 52 weeks = $1,518.92 for the year

To solve 12x = 192,_______ both sides of the equation by 12.​

Answers

Answer:

To solve this equation, divide both sides by 12.

Step-by-step explanation:

You have to get x alone, and in order to do this, divide by 12

y
What is the equation in standard form of the line shown
on the graph?
The equation of the line in standard form is
4
2.
-4
-2.
2
4
-2.

Answers

9514 1404 393

Answer:

  3x -4y = 12

Step-by-step explanation:

The x- and y-intercepts are easily read from the graph as 4 and -3, respectively. Then the intercept form of the equation of the line is ...

  x/(x-intercept) +y/(y-intercept) = 1

  x/4 +y/(-3) = 1

Multiplying by 12 will clear the fractions and give the standard form:

  3x -4y = 12

Find the GCF of each set of numbers 4, 10,14

Answers

Answer:

for 4, 10, 14 the gcf would be 2

Step-by-step explanation:

Use synthetic division to evaluate f(x) = x^3-4x^2+x-8 when x = 2.

Answers

Answer:

=-14

Step-by-step explanation:

Substitute 2 in for x:

Before- x^3-4x- + x-8 ; Now- 2^3 - 4* 2^2 + 2-8=-14

A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?

A. the number of tickets that the theater will sell If the ticket price is increased by $2

B. the number of tickets the theater will sell if the ticket prices increased by $2n

C.the number of tickets the theater will sell if the ticket price is decreased by $15​

Answers

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

Answer:

The answer is B

Step-by-step explanation:

Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
(see picture)

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

Apply the angle bisector theorem to solve for x and y respectively.

✔️4/(9 - x) = 8/x

Cross multiply

4*x = 8(9 - x)

4x = 72 - 8x

Add 8x to both sides

4x + 8x = 72

12x = 72

12x/12 = 72/12

x = 6

✔️y/2 = 6/3

Cross multiply

3*y = 6*2

3y = 12

3y/3 = 12/3

y = 4

Q and T are the midpoints of the legs, RV and SU , of trapezoid RSUV. If RS=3y+12, QT=y+25, and UV=2y+32, what is the value of y?

Answers

100 bc I did the work

The value of y for the expression 3y + 12 = 2y + 32 is 20.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Trapezoid RSUV.

RS and VU are parallel to each other.

This means,

RS = UV

Now,

3y + 12 = 2y + 32

3y - 2y = 32 - 12

y = 20

Thus,

The value of y is 20.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

A pair of shoes originally costs $60. They are on sale for 25% off and sales tax is 7%. Cost is calculated by first applying the discount, then sales tax.

What is the total cost of shoes including tax?​

Answers

Answer:

$48.15

Step-by-step explanation:

60.00 x 25% = $15.00

60.00 - 15.00 = $45.00

45.00 x 7% = $3.15

45.00 + 3.15 = $48.15

Suppose that before the sample in question 1 was taken, the manager asked you to determine the sample size required to be 95% confident of the final estimation result within a margin of error of 0.035 ounces. You assume the standard deviation of the filling machine is 0.20 based on the manufactures specifications. Based on the information above, determine the best sample size of cans to take to estimate the true mean fill level. Place your answers for Question 2 in the worksheet named Nagel 1.
a. 2 Points: Calculate the appropriate value of Z in cell F26 using a built-in Excel function based off of 95% confidence.
b. 2 Points: Input the assumed standard deviation in cell F27.
c. 2 Points: Input the maximum allowed margin of error (MOE) in cell F28.
d. 4 Points: Calculate the necessary sample size (n) in cell F29 by writing a formula that references the appropriate cells.
e. 4 Points: Calculate the necessary sample size (n) using StatTools, Place your StatTools output with an upper left hand cell in cell 011. Place the cell reference for the value from StatTools in cell F30.

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

linkcutter.ga/gyko

Multiply. Write the answer in simplest form.

1/2 x 4/5 =

Answers

Answer:

2/5

Step-by-step explanation:

1/2*4/5=4/10=2/5

2/5.
1/2 x 4/5 is 2/5

Camelo has 3 less siblings than Benecio has. If camelo has 2 siblings, how many siblings does Benicia has.

Answers

Answer:

Benicia has5 siblings

Step-by-step explanation:

2+3=5

Find the true measurements of the missing angle and show your work

Answers

Answer:

Angle = 45

Step-by-step explanation:

It is half of a right angle also (x = 15) :)

need help its due today what does x equal

Answers

Answer:

100

Step-by-step explanation:

x+80=180 because straight angle is 180 degrees.

x=100

Answer:

100 degrees

Step-by-step explanation:

when you're trying to solve a problem like this, just subtract the number you have from 180.

Work out 10% of 13 kg​

Answers

1.3

10% x 13 = 13 /10

HELP!! MATH!!!!!!! thanksss

Answers

Answer:

24*25/2 = 300

Guys Why have teachers not been active ??​

Answers

Answer:

Pandemic

Step-by-step explanation: Teachers are socially distancing

Answer:

OH OH idek maybe something happen 0-0

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