If A is an n x n matrix and Ax = λx for some scalar λ, then x is an eigenvector of A. T/F

Answers

Answer 1

The definition of an eigenvector of A with eigenvalue λ.

If A is an n x n matrix and Ax = λx for some scalar λ, then x is an eigenvector of A. True or False?

True.

By definition, an eigenvector of a matrix A is a non-zero vector x that satisfies the equation Ax = λx, where λ is a scalar called the eigenvalue corresponding to x.

So if Ax = λx for some scalar λ, then x is a non-zero vector that satisfies the definition of an eigenvector of A with eigenvalue λ.

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Related Questions

One important use of the regression line is to do which of the​ following?
A. To determine the strength of a linear association between two variables
B. To determine if a distribution is unimodal or multimodal
C. To make predictions about the values of y for a given​ x-value
D. Both A and B are correct

Answers

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

8 less than the quotient of a number and 4

Answers

Answer:

(n/4)- 8

Step-by-step explanation:

a number= "n"

(n/4)-8

Use the number line below to help you determine which of the following expressions is true. 20 WA 201220 70 5.1 52 5.13 SA SS 5.6 5.7 5.8 5.9 60 0 5.4 = 5.04 05.520 > 5.71 0 5.26 < 5.4 O 5.04 > 5.4​

Use the number line below to help you determine which of the following expressions is true. 20 WA 201220

Answers

Answer:

5.26 < 5.4

Step-by-step explanation: I just took the quiz :) it’s correct

Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 6% while the LTPD acceptable by the assembly department is 39%. Assume the company is willing to accept a consumer's risk of 10
percent and a producer's risk of 5 percent. Use Exhibit 10.16.
Find the sample size.

Answers

The sample size required is 29.

To find the sample size, we need to use the concept of Acceptable Quality Level (AQL) and Lot Tolerance Percent Defective (LTPD) along with the consumer's risk and producer's risk.

The AQL is the maximum percentage of defective items that the company is willing to accept from the LSI manufacture department, which is specified as 6%. On the other hand, the LTPD is the maximum percentage of defective items that the assembly department is willing to accept, which is specified as 39%.

To calculate the sample size, we can use the formula for the sample size in attribute sampling plans:

n = (\(Z^{2}\) * p * q) / \(E^{2}\)

Where:

n = sample size

Z = Z-value corresponding to the desired level of confidence (for consumer's risk of 10% and producer's risk of 5%, we can use Z = 1.65)

p = expected proportion of defective items (maximum between AQL and LTPD)

q = 1 - p

E = precision or tolerable error (difference between AQL and LTPD)

In this case, we want to determine the sample size, assuming the worst-case scenario. Therefore, we choose p as the maximum between AQL and LTPD, which is 39%. Hence, q is 1 - p, which is 61%. The precision or tolerable error (E) is the difference between AQL and LTPD, which is 39% - 6% = 33%.

Substituting these values into the formula, we have:

n = (\(1.65^{2}\) * 0.39 * 0.61) / (\(0.33^{2}\))

n ≈ 28.74

Since the sample size should be a whole number, we round up to the nearest whole number.

Therefore, the sample size required is approximately 29.

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Please Help! :)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Please Help! :)What is the slope?Simplify your answer and write it as a proper fraction, improper fraction,

Answers

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:slope(m) = \dfrac{5}{2} \)

____________________________________

\( \large \tt Solution \: : \)

Slope (m) of a line can be calculated by using this formulae :

\(\qquad \tt \rightarrow \: m = \dfrac{rise}{run} \)

Considering two points [ (60 , 0) and (80 , 50) ]

\(\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} \)

\(\qquad \tt \rightarrow \: m = \dfrac{50 - 0}{80 - 60} \)

\(\qquad \tt \rightarrow \: m = \dfrac{50}{20} \)

\(\qquad \tt \rightarrow \: m = \dfrac{5}{2} \)

So, slope of given line is 5/2

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

If Susie's age is 8 less than 3 times her brother's age, and Susie is 13. How old is her brother?

Answers

Answer:

correct me if im wrong but my answer is x=7, or in other words, 7.

Step-by-step explanation:

Answer:

7 years old

Step-by-step explanation:

You would start by going backward. If 13 is 8 less, then you would first add 8. You would have 21. Now all you have to do is divide by three. So your answer would be 7. If you would want to check you could plug it back in. 7 multiplied by 3 is 21. 21 - 8=13

The Answer, 7 years old

the sum of four times a number and seventeen 65. find the the number

Answers

Answer:

13 divided by 7

Step-by-step explanation:

In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.

Answers

The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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pls help me answer this question

pls help me answer this question

Answers

Answer:

Step-by-step explanation:

This is an isosceles triangle because side AC and side AB are congruent (they are both marked with single slash marks). That means that angle B and angle C are also congruent. Angle B also measures 2x. To find the measure of each angle we will use the Triangle Angle-Sum Theorem:

x + 2x + 2x = 180 and

5x = 180 so

x = 36

Angle A = 36, B = 72 and C = 72

Answer:

x = 36 degrees

Step-by-step explanation:

This is an isosceles triangle, because two legs are equal.  The angles opposite these legs are therefore also equal:  <B = <C = 2x.    The sum of the interior angles must be 180 degrees.  Therefore,

x + 2x + 2x = 180 degrees, and 5x = 180 degrees.  Thus, x = 36 degrees.

What are all the values of x that make the inequality 8 - 3x < 20 true?

Answers

hello!

Let's solve this inequality.

First of all, subtract 8 from both sides:-

\(\sf{-3x < 20-8}\)

\(\sf{-3x < 12}\)

Divide both sides by -3:-

\(\sf{x > -4}\)

Notice that the inequality sign changed...

Here's the rule:-

When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...

So these are the values of x that will make the inequality true:-

\(\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}\)

Well, -3 is greater than 4 :)

Let's plug it in and see if it makes the inequality true:-

-3>-4

Yes, it does make the inequality true :)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

solve by iteration: (10) (i)t(n) = t(n-2) 2n t (1) = 1, t (0) = 0. (ii)t(n) = t(n-1) n/2 t (1) = 1.

Answers

By iteration, g(10) = 60 for (i) and g(10) = 14 for (ii)

Given information: The recursive formula are(i)  t(n) = t(n - 2) + 2n, t(1) = 1, t(0) = 0(ii) t(n) = t(n - 1) + n/2, t(1) = 1.Solve by iteration:

1. The recursive formula is t(n) = t(n - 2) + 2n, t(1)

                                                   = 1, t(0)

                                                   = 0.

This can be written as, t(n) = t(n - 2) + 2nOr, t(n + 2) = t(n) + 2(n + 2) (Add 2(n + 2) to both sides)

Let, the initial value of t(n) be g(n)

Therefore, t(n + 2) = g(n + 2)g(n) + 2(n + 2)

This iteration will be used until the value converges to the answer.

2. The recursive formula is t(n) = t(n - 1) + n/2, t(1) = 1.

This can be written as, t(n) = t(n - 1) + n/2Or, t(n + 1) = t(n) + (n + 1)/2

Let, the initial value of t(n) be g(n)

Therefore, t(n + 1) = g(n + 1)g(n) + (n + 1)/2

This iteration will be used until the value converges to the answer.

3. t(0) = 0 and t(1) = 1.This is given.

The iterative method is used when no exact formula can be found that will provide the n-th term of the sequence directly.

The iteration for

(i) becomes, g(0) = 0,

g(1) = 1.g(2)

     = g(0) + 2(2)

     = 4g(3)

     = g(1) + 2(3)

     = 7g(4)

     = g(2) + 2(4)

     = 12g(5)

     = g(3) + 2(5)

     = 17g(6)

     = g(4) + 2(6)

     = 24g(7)

     = g(5) + 2(7)

     = 31g(8)

     = g(6) + 2(8)

     = 40g(9)

     = g(7) + 2(9)

     = 49g(10)

     = g(8) + 2(10)

     = 60

The iteration for

(ii) becomes, g(1) = 1.g(2)

                           = g(1) + (2)/2

                           = 2g(3)

                           = g(2) + (3)/2

                           = 3.5g(4)

                           = g(3) + (4)/2

                           = 5g(5)

                           = g(4) + (5)/2

                           = 6.5g(6)

                           = g(5) + (6)/2

                           = 8g(7)

                           = g(6) + (7)/2

                           = 9.5g(8)

                          = g(7) + (8)/2

                          = 11g(9)

                          = g(8) + (9)/2

                          = 12.5g(10)

                          = g(9) + (10)/2

                          = 14.

The values of g(n) converge to the corresponding values of t(n).

Therefore, the required answers are: g(10) = 60 for (i) and g(10) = 14 for (ii).

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Triangle ABC was rotated about the origin. Which rule describes the rotation? R0, 90° R0, 180° R0, 270° R0, 360°

Answers

Answer: A on EDG 2020

Step-by-step explanation:

Answer:

A

Just took the test

Step-by-step explanation:

Help please I’ve been stuck on this for a while

Help please Ive been stuck on this for a while

Answers

We know that the two angles are equal, so we can set the two equations for the angles equal to each other and solve for \(x\):

\(3x - 6 = 2x + 8\)

Let's move the terms with \(x\) in them to the left side and the constants (just numbers) to the right side of the equation.

\(3x - 2x = 8 + 6\)

\(x = 14\)

The marketing club school is openings student store. They randomly survey 50 students who how much money they spend

onunch each day. What is the expected value for a student to spend on lunch each day?

Student Lunch Survey

Number of Dollars spent on

Students

Lunch Eschwy

510

SSS

05.18

5.07

See

signou

us

247

Answers

The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.

The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.

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I need this answer i dont think this is the right anwser please help

I need this answer i dont think this is the right anwser please help

Answers

Answer: 11 ft.

Step-by-step explanation:

Start by listing the variables that you have.

-Total Area=1,848; lot a 33ft wide, 42ft long; lot b xft wide, 42ft long.

- so, our equation looks like 1,848=(33x42)+(42x)

-multiply 33x42=1,386

-subtract 1,386 from both sides to get 462.

-equation should look like 462=42x

-divide by 42 to 11

What is the value of this expression when g=-3.5?
8-12g-5

Answers

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?

Answers

Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

PLS HELPPPPPP
Simplify:

PLS HELPPPPPPSimplify:

Answers

The simplified form of 4\(\sqrt[4]{6a}\) - 3\(\sqrt[4]{6a}\) is \(\sqrt[4]{6a}\)

What is surd?

Surds are the square roots of irrational numbers.

They usually have the square roots signs in them. Examples of surds are the square roots of prime numbers.

\(4\sqrt[4]{6a} - 3\sqrt[4]{6a}\)

Since the surds are the same, we factorize

\(\sqrt[4]{6a}(4 - 3)\)

= \(\sqrt[4]{6a}(1)\)

= \(\sqrt[4]{6a}\)

In conclusion, the simplified form of the surd is \(\sqrt[4]{6a}\)

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When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64

Answers

The value of the constant of variation is one-fourth. Then the correct option is A.

What is the constant of variation?

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

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Answer:

Keep it simple. Answer: A

Step-by-step explanation:

Write an inequality for each sentence.
More than 3400 people attended the tea market.

Answers

The answer would be

~X > 3400~

Hope this helps

Have a great day/night

Feel free to ask any questions

Answer:

the take video g g go ytffdee

Please answer all 5 questions in order correctly.

You will be marked as Brainliest.

Please answer all 5 questions in order correctly.You will be marked as Brainliest.
Please answer all 5 questions in order correctly.You will be marked as Brainliest.
Please answer all 5 questions in order correctly.You will be marked as Brainliest.
Please answer all 5 questions in order correctly.You will be marked as Brainliest.
Please answer all 5 questions in order correctly.You will be marked as Brainliest.

Answers

Answer:

whyd you delte my answer

Step-by-step explanation:

Find the arc length of the semicircle.

Answers

Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Which expression is equivalent to 10(f + 6e)?

a. 2(5f - 3e)
b. f(10 + 6e)
c. 2(5f + 3e)
d. 10(f + 6e)

Answers

Answer:

D. 10(f + 6e)

Step-by-step explanation:

sana nakatulong

femi went shopping for a new television. the television he wants to buy measures 32 inches diagonally. the length of the television is 24 inches. which measurement is the closest to the length of the height in inches?

Answers

Answer:

768

Step-by-step explanation:

I hope you mean this, if you don't say so

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answers

Answer:

3, 6, 6, 6, 9

Step-by-step explanation:

mean of this is 6

median of this is 6

range of this is 6

give brainliset please!

hope this helps ;)

divide £70 in the ratio 4:3

Answers

Answer:

£40:£30

Step-by-step explanation:

As we can see the ratio adds up to 7 since:

4+3=7

So now we know 1 share of the ratio will be:
£70÷7=£10

So 4 shares is £40 and 3 shares is £30

Please help so I don’t fail!!

Solve each equation by completing the square
1)b^2-4b-16=-7

2) 5v^2+20v-54=6

Answers

Answer:

b = 2 + sqrt13, 2 - sqrt13

v = 2, - 6

Sorry if you need to show work it's really hard to type it out since I don't have the symbols

I'm unsure how to determine the transformation of this graph.

I'm unsure how to determine the transformation of this graph.

Answers

The given graph is a graph of the absolute value function:

\(y=f(x)=|x|\)

A graph of the function y=f(x) when translated horizontally by a units, vertically by b units, and horizontally stretched by a factor of k, where k>=1 is :

\(y=\frac{1}{k}f(x-a)+b\)

The required graph in the choices is that of the function:

\(y=\frac{1}{3}f(x+5)-3\)

This equation shows that the new function translates the previous one vertically down by 3 units (b=-3).

Horizontally to the left by 5 units (a=-5), and a horizontal stretch by a factor of 3 (k=3).

Hence, the new graph will be the one that gives the old graph translated vertically downwards by 3 units, horizontally to the left by 5 units, and a horizontal stretch away from the y-axis by a factor of 3.

The graph that best fits is shown below:

I'm unsure how to determine the transformation of this graph.

Simplify the expression 3(x + 4) + 5x

Answers

Answer:

8x+12

Step-by-step explanation:

3(x+4)+5x

3(x)+3(4)+5x

3x+12+5x

3x+5x+12

8x+12

hopes this helps

Answer:

Hi!

The answer would be 8x+12

I hope this helps you :)


x2 + x
+X
Find g(-6) if g(x)
X +9
g(-6)=(Simplify your answer. Type an integer or a

xx2 + x+XFind g(-6) if g(x)X +9g(-6)=(Simplify your answer. Type an integer or a

Answers

Answer:

Substitute -6 as x into the equation.

(-6)^2-6/-6+9

36-6/3

30/3

10

So g(-6)=10

:)

Answer:

Substitute -6 as x into the equation.

(-6)^2-6/-6+9

36-6/3

30/3

10

So g(-6)=10

Step-by-step explanation:

brainly Boi

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