use Matlab program or mathematic to find all possible Jordan conical forms of a matrix with characteristics polynomial c(t)=(-2)^4 * (t-1)

Answers

Answer 1

The characteristic polynomial c(t) indicates that the eigenvalues of the matrix are λ₁ = 1 and λ₂ = -2. To determine the possible Jordan canonical forms, we need to consider the sizes of the Jordan blocks corresponding to each eigenvalue.

Since λ₁ = 1 is a simple eigenvalue, it contributes a single Jordan block. The possible Jordan canonical forms for λ₁ = 1 include a 1x1 Jordan block [1] or any combination of diagonal blocks [1; 1; ...; 1].

On the other hand, λ₂ = -2 is a repeated eigenvalue. It contributes a Jordan block or blocks whose sizes sum up to the multiplicity of the eigenvalue. In this case, the multiplicity of λ₂ is 4, meaning there are four Jordan blocks associated with λ₂. The possible sizes for these Jordan blocks can be 4x4, 3x3+1x1, 2x2+2x2, 2x2+1x1+1x1, or 1x1+1x1+1x1+1x1.

By combining the possible Jordan blocks for λ₁ and λ₂, we can generate all the possible Jordan canonical forms for the given matrix.

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Related Questions

What two fractions are equal to 2

Answers

Answer:

Step-by-step explanation:

8/4 and 6/3

The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”

Answers

Answer:

proportional bc all of them are 1 shirt = 12.95

Write the equation of the circle below, with the center at (3, 1) and passing through the point (-3,4)

Answers

Answer:

Step-by-step explanation:

formula:

(x-h)²+(y-k)²=r²             (h,k) is the center, you will have to calculate the r

r=\(\sqrt{(3-(-3))^{2} +(1-4)^{2} }\)

=\(\sqrt{36+9}\)

=\(\sqrt{45}\)             keep this as a square root, you will square it anyway

(x-3)² + (y-1)² = \((\sqrt{45} )^{2}\)

(x-3)² + (y-1)² = 45

at the beginning of a population study, a city had people. each year since, the population has grown by . let be the number of years since start of the study. let be the city's population. write an exponential function showing the relationship between and .

Answers

The exponential function that shows the relationship between the city's population y and the number of years t since the start of the study is \(y = 390000 * (1.073)^t\)

Population tends to change with time. It might increase or decrease. Let y be the city's population after t years since the start of the study, and let \(Po\) be the initial population at the start of the study. We can use the formula for exponential growth to represent the relationship between y and t:

Final population = Initial population x (growth rate)^years

\(y = Po*(1+0.073)^t\)

\(y = Po* (1.073)^{(t)\)

Substituting the values in the above equation we get the following equation:

\(y = 390,000*(1.073)^t\)

The above function when represented in exponential form will be equal to \(y=390,000*(e)^{(0.073t)\)

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Refer to complete question below:

At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 7.3% . Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t .

one number is 3 times another number. If 15 is added to both the numbers, then one of the new numbers becomes twice that of the other new number. Find the numbers

Answers

Answer:

15 and 45

Step-by-step explanation:

Let 1st number be x.

Then, 2nd number = 3x.

According to que,

3x+15=2(x+15)

3x+15=2x+30

x=15

Therefore, the two numbers are 15 and 45.

Use the diagram to answer the question.



Which of the following statements are true based on the diagram?

Points B, C, and D lie in Plane N.
Points B, C, and D are on line n
Points B and D are on line n, but Point C is not.

Answers

Answer:

Points B, C, and D are on line n

Step-by-step explanation:

Answer:

лттьло. ьнеь е екбюедку к е. еккд

Which statement is modeled by the expression? 100p Responses The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens. The coach received 100 tokens for the amusement park rides. If there are , p, players on the team, each player will receive , 100 over p, , tokens. After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are p players in the league, 100p is the number of uniforms the league had originally. After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are , p, players in the league, , 100 over p, is the number of uniforms the league had originally. One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100p. One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100 over p ., Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100p Each player in the league was given 100 tickets to sell. If there are , p, players in the league, the total number of tickets to sell is , 100 over p

Answers

The statement modeled by the expression "100p" is: "If there are p players on the team, each player will receive 100p tokens."
The statement modeled by the expression
"100p" is: "If there are p players on the team, each player will receive 100p tokens." Have a good day

TRUE / FALSE.If two lines are perpendicular, they have the same slope.

Answers

False. If two lines are perpendicular, they do not have the same slope. When two lines are perpendicular, they intersect at a right angle, and their slopes are negative reciprocals of each other.

This implies that when one slope is a, the other slope is -1/a. We can define perpendicular lines using the following theorem.

The two lines in a plane are perpendicular if and only if the product of their slopes is -1. If line 1 has slope m1 and line 2 has slope m2, then the product of their slopes is m1*m2 = -1, which means m2 = -1/m1 and vice versa. The converse is also true, which means if m1*m2 = -1, then line 1 and line 2 are perpendicular.

Hence, the statement, "If two lines are perpendicular, they have the same slope" is false because the slopes of perpendicular lines are negative reciprocals of each other, not equal. Therefore, the answer is False.

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Write this equation in slope-intercept form by isolating the y-variable.
12x = 4y

Answers

I believe this is it
Write this equation in slope-intercept form by isolating the y-variable.12x = 4y

I'm so confused I got -2 but it's not an option please help me :(​

I'm so confused I got -2 but it's not an option please help me :(

Answers

Answer:

y = 0

Step-by-step explanation:

-2y-4=4(y-1)

First you want to distribute it

-2y - 4 = 4y - 4

Then just subtract -4y from both sides to neutralize 4y

-6y -4 = -4

then you have to add 4 to neutralize -4

-6y= 0

thus the answer is y= 0

whats the answer for this equation -4-6x-20

Answers

Step-by-step explanation:

-4x=-4-20

-4x=-24

x=-24/-4=6

Answer:

-84

Step-by-step explanation:


A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils have a mean length of
17.9 cm. Given that the population standard deviation is 0.25 cm, find the P-value you would use to test the claim that the population mean of
pencils produced in that factory have a mean length equal to 18.0 cm.​

Answers

Answer:

The P-value you would use to test the claim that the population mean of  pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of  17.9 cm. Given that the population standard deviation is 0.25 cm.

Let \(\mu\) = population mean length of  pencils produced in that factory.

So, Null Hypothesis, \(H_0\) : \(\mu\) = 18.0 cm     {means that the population mean of  pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 18.0 cm     {means that the population mean of  pencils produced in that factory have a mean length different from 18.0 cm}

The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;

                           T.S.  =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean length of pencils = 17.9 cm

           \(\sigma\) = population standard deviation = 0.25 cm

           n = sample of pencils = 45

So, the test statistics =  \(\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }\)  

                                    =  -2.68

The value of z-test statistics is -2.68.

Now, the P-value of the test statistics is given by;

         P-value = P(Z < -2.68) = 1 - P(Z \(\leq\) 2.68)

                      = 1- 0.99632 = 0.00368

For the two-tailed test, the P-value is calculated as = 2 \(\times\) 0.00368 = 0.00736.

La probabilidad de que un vuelo se retrase es 0. 2 (=20%),¿Cuales son las probabilidades de que no haya demoras en un viaje de ida y vueta

Answers

La probabilidad de que no haya demoras en un viaje de ida y vuelta es 0.64 (64%).

How to calculate the probabilities?

La probabilidad de que no haya demoras en un viaje de ida y vuelta se puede calcular utilizando la probabilidad complementaria. Si la probabilidad de que un vuelo se retrase es 0.2 (20%), entonces la probabilidad de que no haya retrasos en un vuelo individual es 1 - 0.2 = 0.8 (80%).

Para un viaje de ida y vuelta, la probabilidad de que no haya retrasos en ambos vuelos se calcula multiplicando las probabilidades de no retraso de cada vuelo.

Entonces, la probabilidad de que no haya demoras en un viaje de ida y vuelta sería 0.8 * 0.8 = 0.64 (64%), o 64 de cada 100 viajes de ida y vuelta no experimentarían retrasos.

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Of the numbers 4, 5, 6, and 7, which is a solution to the inequality “t+2<7

Of the numbers 4, 5, 6, and 7, which is a solution to the inequality t+2&lt;7

Answers

Answer:

Step-by-step explanation:

F(x)=0

Answer: C

It is right lol

I need help on question c and d

I need help on question c and d

Answers

Answer:

c. 4^3 * 5^2 (1600)

d. 9^4 * 7^2 (321489)

Step-by-step explanation:

Hi!

Remember that exponents are the number times itself (2*2 = 2^2).

So, in c, we have 4 times 4 times 4. We have 4 multiplied by 4 3 times. We can also write this as 4^3.

We also have 5 times 5. We can also write this as 5^2.

However, we need to multiply 5^2 by 4^3. So:

4^3 times 5^2 or 1600.

d.

Let's group the similar numbers together.

9 x 9 x 9 x 9 and 7 x 7

There are 4 9's, so 9^4.

There are 2 7's, so 7^2

Multiply the 2.

9^4 * 7^2

Meadow View State Park has a great nature program for students. The ranger has a deck of 50 flash cards of things that they can see while visiting the park. He shuffles the deck and holds up 14 randomly chosen flash cards to show the students before putting them back in the deck. Here are the types of cards he has shown so far:

tree, animal, tree, rock, insect, tree, rock, animal, animal, tree, rock, tree, insect, tree

Based on the data, estimate how many tree cards are in the deck.

Answers

Answer:21 tree cards

Step-by-step explanation:

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

\(\\ \sf\longmapsto \dfrac{30x}{200}\)

\(\\ \sf\longmapsto \dfrac{3}{20}x\)

Now

added gasoline=8gallon

Expression:-

\(\\ \sf\longmapsto \dfrac{3}{20}x+8\)

Closest to the doll house!!

Closest to the doll house!!

Answers

Answer:

C

Step-by-step explanation:

I need help!! im stuck and dont understand and this is due at 12

I need help!! im stuck and dont understand and this is due at 12

Answers

Answer:

K is the midpoint of JL.

I hope this helps:)

What is the solution to the system of equations represented by the
table below? Write your answer as an ordered pair.

What is the solution to the system of equations represented by thetable below? Write your answer as an

Answers

The solution to the system of equations that are represented by the table given is: (-1, 6).

Recall:

Solution to a system of equations that is represented by a table is the value of x that will give the same value of y for each linear equation.

Thus, from the table given, when x = -1, the values of y1 and y2 equals 6. This represents the solution of the system of equations.

Therefore, the solution to the system of equations that are represented by the table given is: (-1, 6).

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2. Consider the following differential equation:
t dy/dt + (1 – t)y= e^2t
(a) When is a differential equation said to be an exact form is this differential equation an exact form? (b) Identify the integrating factor, (c) Solve the differential equation

Answers

(a) The differential equation is not in exact form.

(b) The integrating factor for the given differential equation is μ(t) = e^(-t).

(c)  The solution is  y = -e^(2t) + Ce^t, where C is a constant of integration.

(a) A differential equation is said to be in exact form if it can be written as M(x, y) dx + N(x, y) dy = 0, where the partial derivatives of M and N with respect to y and x, respectively, are equal, i.e., ∂M/∂y = ∂N/∂x. In the given differential equation, t dy/dt + (1 – t)y = e^2t, the partial derivatives of (1 – t)y with respect to y and t are -t and (1 - t), respectively, which are not equal. Therefore, the given differential equation is not in exact form.

(b) To transform the given differential equation into an exact form, we can find an integrating factor, denoted by μ(t), which is a function of t only. The integrating factor is obtained by dividing an expression involving the partial derivatives of the given equation with respect to y and t. In this case, we have ∂M/∂y - ∂N/∂x = -t - (1 - t) = -1. Thus, the integrating factor is μ(t) = e^(-∫1 dt) = e^(-t).

(c) Multiplying the given differential equation by the integrating factor e^(-t), we obtain e^(-t)(t dy/dt + (1 – t)y) = e^(-t)e^(2t). Simplifying this equation, we have e^(-t) d(ty) = e^(t). Integrating both sides with respect to t, we get ∫e^(-t) d(ty) = ∫e^(t) dt. The left-hand side can be evaluated as -e^(-t)y + C_1, where C_1 is the constant of integration. The right-hand side evaluates to e^t + C_2, where C_2 is another constant of integration. Combining these results, we have -e^(-t)y + C_1 = e^t + C_2. Rearranging the equation, we obtain y = -e^(2t) + Ce^t, where C = C_1 - C_2 is a constant of integration. This is the solution to the given differential equation.

In summary, the given differential equation is not in exact form. By finding an integrating factor of μ(t) = e^(-t), we transform the equation into an exact form. The solution to the transformed equation is y = -e^(2t) + Ce^t, where C is a constant of integration.

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You have received a bag of marbles from Mr. P. He tells you that he placed 5 black marbles, 8 yellow marbles, 1 orange marble, 6 green marbles, and 3 red marbles. He tells you to reach in and pull out a marble. What is the probability that you DO NOT pull out a red marble?

Answers

The probability that you do not reach a red marble is given as follows:

20/23.

How to obtain a probability?

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes.

The total number of marbles in this problem is given as follows:

5 + 8 + 1 + 6 + 3 = 23 marbles.

The desired outcomes are the non-red marbles. Considering that there are 23 marbles and 3 are not red, the number of desired outcomes is given as follows:

23 - 3 = 20.

Hence the probability that you do not reach a red marble is given as follows:

p = 20/23.

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6.3 rounded to the nearest whole number pls help me!!​

Answers

Answer:

6

Step-by-step explanation:

Since .3 is below .5, you would not round 6 up to 7.

Order these numbers from least to greatest.
4.5, 4.15, 3.814, 4.1052

Answers

Answer:

(least) 3.814, 4.1052, 4.15, 4.5 (greatest)

Step-by-step explanation:

Answer:

3.814 least

4.1052

4.15

4.5 greatest

Assume we have a machine that uses 1 byte for a short int and 2 bytes for an int. What's the decimal value of z after running the following code. short int x = -36; // binary sequence is 11011100 int y = x; unsigned int z = y;

Answers

The decimal value of 'z' after running the given code is 220.

The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.

Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.

Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.

In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.

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Solve for x:-
\(\tt 4x-3\left(2x+1\right)=4\left(x+2\right)+1\)

Answers

4x - 3(2x+1) = 4(x+2) + 1
4x - 6x - 3 = 4x + 8 + 1
-2x - 3 = 4x + 9
-3 = 6x + 9
-12 = 6x
x = -2

Answer:

–2 is the correct Answer

Step-by-step explanation:

\( \: 4x - 3(2x + 1) = 4(x + 2) + 1 \\ ⇒4x - 6x - 3 = 4x + 8 + 1 \: \: \: \: \: \: \: \: \: \: \: \: \\ ⇒4x - 6x - 4x =9 + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\ ⇒ - 6x = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ ⇒x = - \frac{12}{6} = - 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Arun bought a pair of skates at the sale where the discount given was 20%. If the amount he pays is 1600 find the marked price

Answers

Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

helpppppppppp meeeeeeeeeee 50points

helpppppppppp meeeeeeeeeee 50points

Answers

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Raquel wants to buy a concert ticket online. Raquel has a coupon code to discount the cost of the concert ticket. The cost of the concert ticket online has been found to be t-.25t + 15, where t the cost of the ticket in dollars.

By what percent is the ticket cos being discount ?

How much is the flat booking fee ?​

Answers

Answer:

the percent being discounted is 25% and the flat booking fee is 15

Step-by-step explanation:

t is the cost of the ticket.  -.25t is the 25% coupon being taken off.  The 15 is the booking fee.

9.43
9.43
15
15
16
© 2018 StrongMind. Created using GeoGebra.
What is the area, in square units of the composite figure?
Enter your answer as a number, like this: 42

9.439.43151516 2018 StrongMind. Created using GeoGebra.What is the area, in square units of the composite

Answers

Answer:

280

Step-by-step explanation:

first, find the area of the triangle

formula: 1/2 (base × height)

so the area of the triangle is

= 1/2 (16×5)

= 1/2 (80)

= 40

then, find the area of the rectangle

formula: length × breadth

the area of the rectangle is

= 15 × 16

= 240

the area of the composite figure is the sum of the areas of the triangle and rectangle

= 40 + 240

= 280

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