Let m=[2 3 −6 11]. Find formulas for the entries of M^n, where n is a positive integer.

Answers

Answer 1

Given the matrix M = [2, 3, -6, 11], we can rewrite it as a 2x2 matrix:

M = | 2 3 |
| -6 11 |

To find M^n, we'll need to multiply the matrix by itself (n-1) times. The resulting matrix will also be a 2x2 matrix. Let's call the entries of M^n as a, b, c, and d:

M^n = | a b |
| c d |

To find the formulas for a, b, c, and d in terms of n, we can look at patterns in the matrix raised to different powers. For example, M^2, M^3, and so on. After observing the pattern, we find that the formulas for the entries of M^n are as follows:

a = 2^(n-1)
b = 3(2^(n-1) - 1)
c = -6(2^(n-1) - 1)
d = 2^(n-1) + 11(2^(n-1) - 1)

These formulas give you the entries of the matrix M^n for any positive integer n.

If you need to learn more about matrix, click here:
https://brainly.com/question/29593984
#SPJ11

Related Questions

Can someone help me please

Answers

Answer:

X=3-(y/2)=8

Step-by-step explanation:

suppose the numbers is X

3 less than half the product of a number is 8

X= 3- (y/2)=8

1/2(8n)-3

Hope that helps

A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich statement about rolling a 3 is correct

Answers

Answer:

The Theoretical probability is 1/6.

The experimental probability is 1/5

Step-by-step explanation:

Given

Rolls: 100

Outcome of 3 : 20

Required

Which of the options is true (See attachment for options)

From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.

The experimental probability (E) is calculated as thus:

[tex]E = \frac{Outcomes}{Total\ Rolls}[/tex]

[tex]E = \frac{20}{100}[/tex]

[tex]E = \frac{1}{5}[/tex]

The theoretical probability (T) is calculated as thus:

A cube has 6 faces, one of which is the face 3.

So, T is:

[tex]T = \frac{n(face\ 3)}{n(Total)}[/tex]

[tex]T = \frac{1}{6}[/tex]

Hence, C is true

PLEASE HELP!!

Find the 14th term of the sequence: 2,4,8,16...

Answers

Answer:

16384

Step-by-step explanation:

You have to find 2 to the 14th power (that's the rule)

Hope that helps!

I NEED HELP PLEASE ASAP, It's due soon.

Answers

Answer: y=3/4x+30
(I cannot see the x amounts to see if the units match, if the units are not moving up by 1 on the c axis the slope will be considered wrong)

Why?
Y=mx+b
M=slope
B= y intercept
Slope= rise/run
I moved up from point that directly intersects a point on the graph and moved up 3 and to the right 4 to another point that directly intersects a point.
To find the y intercept I can see that it will directly pass through 30 on the y axis so that is the y intercept

Hope this helps (if I need to explain better or if the x axis doesn’t move by 1s and I need to redo the slope just say something in the comments)

Please help, and plz don't be saying this is the right answer if u dont know for sure.

Answers

Answer:

135 degrees

Step-by-step explanation:

(8x-7)+(12x+57)=180

combine like terms

20x+50 = 180

subtract 50 on both sides

20x = 130

divide by 20

x = 130/20

x = 13/2

x = 6.5

cpq = 12x+57

cpq = 78 + 57

cpq = 135

help and ill give extra (60 points)

Answers

Answer:

1) substitution method

2) zero

Step-by-step explanation:

because it has no solution as the variables cancle out eachother.

The length of a rectangle is 5 centimeters more than the width.
The area of the rectangle is 36 square centimeters.
What is the length?

Answers

Answer:

Length is 4 centimeters

Step-by-step explanation:

4 x (4 + 5)

4 x 9

Graph the following equation:
Graph f(x)= -2^x-2

Answers

Answer:

Step-by-step explanation:

in an assignment and need help with this question

Answers

8 8/3 is 29.3
hope this is correct

Please help
(10 points)
A bill for dinner at a restaurant is $98.87. A 15% tip for the server is added
to the bill. What is the total amount of the bill?
A $100.37
B $109.26
$113.70
D $113.87

Answers

$ 113.70 : 98.87 x .15 = 14.83. ; add that to 98.87

Jana has $10. She wants to buy a bottle of nail polish for $9.50. The sales tax is 7%. Does she have enough money?

Answers

Answer:no, she would be 17 cents short

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Compute the tax =

9.50 * 7% = 9.5 * .07 or 66.5 cents.

Since she only has $10, she does not have enough money.

Simplify the expression -2.2f+0.5f-13-3

Answers

Answer:

-1.7f - 16

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

-2.2f + 0.5f - 13 - 3

Step 2: Simplify

Combine like terms (f): -1.7f - 13 - 3Combine like terms (Z): -1.7f - 16

Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05

Answers

Answer:

There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant

Step-by-step explanation:

H0 : p0 = 0.09

H1 : p0 ≠ 0.09

Sample size, n = 600 ; α = 0.05

Decision region

Zstatistic < Zcritical ; reject H0

P = 48 / 600 = 0.08

Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)

Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)

Zstatistic = - 0.01 /0.0116833

Zstatistic = - 0.856

Zcritical at 0.05, = - 1.96

Zstatistic > Zcritical

-0.856 > - 1.96

Hence, we fail to reject the Null

Solve for x Round to the nearest 100th if needed.
x/13 + 18 = 49

Answers

x
--- + 18 = 49
13

x
--- = 49-18
13

x
--- = 31
13

x = 31×13

x = 403

Answer:

2.4

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

FAST!!
Select ALL the correct answers.
With which information can you construct more than one triangle?

the measurements of two angles

the measurements of two angles and the length of the included side

the measurements of all the angles

the lengths of two sides and the measurement of the included angle

Answers

Answer:

a b and d

Step-by-step explanation:

Answer:

the measurements of two angles

the measurements of two angles and the length of the included side

the lengths of two sides and the measurement of the included angle

Step-by-step explanation:

If 80 = y, then y = 80

Answers

Answeryes

Step-by-step explanation:

The area of a square field is (49m^2 - 42m + 9) square units. find the dimensions of the field. ( STEP BY STEP EXPLANATION)

Answers

Answer:

(7m−3)(7m−3)

Step-by-step explanation:

Factor 49m2−42m+9

49m2−42m+9

=(7m−3)(7m−3)

Which series of transformations will create similar but not congruent figures? (1 point)
O reflection and translation
O reflection and dilation
O reflection and rotation
O rotation and translation

If you don't know let someone who does answer

Answers

Answer:

I thik O rotation and translation

cuál es el siguiente número de -10

Answers

Answer:

en los números negativos es opuesto a los positivos es decir en los positivos después del 302 ira el 303 encambio en los negativos del

-10 irá el -9

Which statement best describes the domain of the function represented in the graph?

Answers

Given:

The graph of a function.

To find:

The correct statement for the domain of the given function graph.

Solution:

Domain is the set of x-values for which the function is defined or it is the set of input values.

From the given graph it is clear that it is a linear function with end points (1,2) and (9,14).

So, the given function is defined for [tex]1\leq x\leq 9[/tex]. Here 1 and 9 are including in the set of x-values.

Therefore, the correct option is C, i.e., [tex]1\leq x\leq 9[/tex] or x between 1 and 9, inclusive.

Rewrite the equation 2x + 3y = 6 in slope-intercept form.
3y = -2x + 6
y= -2x+6
y= - 2/3 x+2
y = 2x+6

Answers

2x+3y=6
3y=6-2x
y=2-2/3x
y=-2/3x+2
the 3rd one is correct

TIMED!!

PLEASE HELP!!

WILL give brainliest

Answers

Answer:

easy third one also plz give heart

Step-by-step explanation:

i just know

the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.

Answers

Answer:

25 or 50 points is that if 25 or 20 im not

Answer:

The hypotenuse equals 15cm

Someone help please

Answers

what do you need help with?

what is 3 + 7 -90+180

Answers

Answer:

100

Step-by-step explanation:

3+7=10

-90+180=90

10+90=100

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

1 4/6 inches

Step-by-step explanation:

10/6= 1 4/6 inches

Hope it helps!!

How do I write the sum of 1 and q as an algebraic expression?

Answers

Answer:

1+Q

Step-by-step explanation:

Answer:

1 + q

Step-by-step explanation:

since sum means to add, and they give the values of 1 and q, we just need to plug it in.

I need help on this.. And I will give you a BRANILIST if you the first one with the right answer

Answers

Answer:

0.1

Step-by-step explanation:

(9,4) (5,1) [tex]\frac{y_{2} y_{1} }{x_{2} x_{1} }[/tex], plug in the numbers, [tex]\frac{(1)(4)}{(5)(9)}[/tex]= [tex]\frac{4}{40} or \frac{1}{10}[/tex], to write it as a decimal, you divide the numerator by the denominator, 0.1

A Lamborghini is worth $700,732 if the tax of this car is 5% what would be the full price?

Answers

It would be 735,768.6
Because you want to multiply 700,732 by 5% or .05 which would give you 35,036.6 which you then add with 700,732 to get 735,768.6

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer: The equation is y = 3x + 3

Step-by-step explanation:

Other Questions

the phrase "germany is not a throwaway society" means the government does not take care of those who are less fortunate.True/False aluminum (al) has a density of 2.70 g/cm3 and crystallizes as a face-centered cubic structure. what is the unit cell edge length? I. Here in summera. Rain b. Rainedc. Rains provide the reagent(s) necessary to carry out the following conversion. group of answer choices fe/hcl nabh4/ch3oh all of these h2/ni 1. lialh4 2. h2o The waters off the coast of Iceland are filled with pods of killer whales, which migrate there during the summer. Wildlife parks that rely on the killer whales for entertainment hunt the killer whale almost exclusively in the water of Iceland, because strict sanctions forbid them from doing so off the coast of North America, an area also abundant in killer whales. Since Iceland recently gave in to pressure from international groups opposed to the hunting of killer whales, it too will forbid the hunting of killer whales off its coast. Therefore, all wildlife parks will be forced to end their shows featuring killer whales once their current killer whales are unable to perform. " All of the following cast doubt on the conclusion of the argument EXCEPT? sketch the finite region enclosed by the given curves and find the area of the region. y=squarootx, y=x^2, x=2 capital improvement special assessments: may include contributions how would you describe your particular context (home/community/ state) in regard to being socialized into sport and physical activity? describe geometrically the effect of the transformation t. let a = [0 0 0 0 1 0 0 0 1'] And are tangent to circle A. Kite ABCD is inscribed in circle E. The radius of circle A is 14 and the radius of circle E is 15. Find the length of rounded to the nearest tenth Consider the de Broglie wavelength of an electron What is the de Broglie wavelength of an electron traveling at a speed of 5.0106 m/s? Give your answer in pm Grade Summary Deductions Potential pm 0% 100% Submissions tan() | | ( 789 cosO cotanO asin0 acos0 atan acotan0 sinh coshO tanh0 cotanh0 Degrees -Radians sin Attempts remaining: 999 % per attempt) detailed view 0 END vo DELCLEAR Submit I give up! Hints: for a .0%-deduction. Hints remaining: 0 Feedback: 5%-deduction per feedback. Carefully distinguish between the terms differentiation and determination. Which phenomenon occurs initially during development? a. Determination refers to early developmental and regulatory events by which cell fate is fixed. Once fixed, differentiation is the manifestation of the determined state, in terms of genetic, physiological, and morphological changes. b. Differentiation refers to early developmental and regulatory events by which cell fate is fixed. Once fixed, determination is the manifestation of the differentiated state, in terms of genetic, physiological, and morphological changes. c. Both terms refer to early developmental and regulatory events that confer a spatially discrete identity on cells. d. Both terms refer to the manifestation of spatial identity, in terms of genetic, physiological, and morphological changes. Neither occurs initially during development Submit Request Answer A square-wave inverter supplies an RL series load with R=25 ohms and L=25mH. The output frequency is 120 Hz. (a) Specify the dc source voltage such that the load current at the fundamental frequency is 2.0 A rms. (b) Determine the THD of the load current (until 9), show all your work. + Vdc Should Chaucers excessive praise of the Prioress be taken literally? Is he overstating her fastidious behavior in order to achieve some other effect? answer the following questions regarding the criterion used to decide on the line that best fits a set of data points. a. what is that criterion called? b. specifically, what is the criterion? Starbucks opened its first store in zagreb, croatia, in october 2010. at the time in zagreb the price of a tall vanilla latte was 25.73 croatian kunas/$. in new york city, the price was $2.65. the exchange rate between kunas and dollars is kn5.6288/$. a. according to purchasing power parity, is the kuna overvalued or undervalued?b. by what percent is the kuna overvalued or undervalued? You put a 51.7 gram mass on a spring, set it in motion with a small amplitude, and count 21 cycles. Those 21 cycles took 3.42 seconds What is kHM Answer 4. employees contribution to dependent care account ________________ employees ________________, thereby _____________ employers labor burden. Which of the following statements is FALSE?The more muscular endurance you have the more repetitions you can do.Muscular endurance is your muscles' ability to continue performing without fatigue.Muscular strength is your muscles' ability to exert force against resistance.Muscular strength is more important than muscular endurance According to Martin Luther King, how did Kennedy abandon Civil Rights?