Use matrix algebra to show that if A is invertible and D satisfies ADequalsI​, then Upper D equals Upper A Superscript negative 1. Choose the correct answer below. A. ​Left-multiply each side of the equation ADequalsI by Upper A Superscript negative 1 to obtain Upper A Superscript negative 1ADequalsUpper A Superscript negative 1I​, IDequalsUpper A Superscript negative 1​, and DequalsUpper A Superscript negative 1. B. Add Upper A Superscript negative 1 to both sides of the equation ADequalsI to obtain Upper A Superscript negative 1plusADequalsUpper A Superscript negative 1plusI​, IDequalsUpper A Superscript negative 1​, and DequalsUpper A Superscript negative 1.

Answers

Answer 1

Answer:

D=A^-1

Step-by-step explanation:

Given that A is invertible and matrix D satisfies AD=I

Where I is an identity matrix

D is the inverse of A

Multiply both sides of AD=I by A^-1

A^-1(.AD) =A^-1 I

A^-1 .A=I

Therefore D=A^-1


Related Questions

.Select the three ratios that are in simplest form.



4/9


11/13


6/5


14/21

Answers

4/9, 11/13, 6/5 they are all in their simplest form

Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

What’s the correct answer for this?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

As the radius of the circle is 5

You need to square this value for it to fit the equation

5^2 = 25

Thus, your answer would be option B

Have A Nice Day ❤    

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Using the image of ⊙O to find the value of x, y and z.

Answers

Answer:

x = 30°

y = 60°

z = 96°

Step-by-step explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.

find the output, g, when the input, r, is 3.

g = -5r + 13

g = __

Answers

Answer:-2

Step-by-step explanation:

g=-5(3)+13

=-15+13

=-2

Hope this helps

Answer:

g = -2

Step-by-step explanation:

g = -5r + 13        Substitute 3 for r into the equation

g = -5(3) + 13     Multiply in the parentheses

g = -15 + 13        Add

g = -2

Please do it on a piece of paper if possible <3

Answers

To find the area, we need the height of the triangle first. We already have the base.

Let's find the height (BA)
tan = opposite / adjacent

tan 35 = BA / 12
BA = 12 * tan35
BA = 12 * 0.7002079283708176
BA = 8.402


Area of the triangle = 12*BA/2 = 6*BA = 50.412 square units

if f(x) =6x-4 what is f(x) when x=8

Answers

Answer:

it's 44

Step-by-step explanation:

6(8) - 4

48 - 4

44

Which is true of the number 55,555?

A.Each digit has a value less than the value of the digit to its right and greater than the value of the digit to its left.
B.Each digit has a value 10 times the value of the digit to its right and 10 times the value of the digit to its left.
C.Each digit has a value 110 of the value of the digit to its right and 10 times the value of the digit to its left.
D.Each digit has a value 10 times the value of the digit to its right and 110 of the value of the digit to its left.

Answers

Answer:

  D.  Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left

Step-by-step explanation:

Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.

_____

Comment on place value

The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.

The number would be a math object used in counting, measurement, and labeling.The numbers are increased by 10 for every spot to the left.Therefore, [tex]\bold{\frac{1}{10}}[/tex] is the value in a right digit.When you move one place to the left, there is a multiplier for a 10-base system (decimal number).The multiplier is this base in some other base. In each "bit" boosts a value by a factor of 2 in a binary (base-2) number system when one moves left.

Therefore, the "Choice D" is the only correct answer.

Learn more:

brainly.com/question/10301376

what the answer please answer quick need help ​

Answers

Answer:

6/5 = 1 1/5

Step-by-step explanation:

3/4 ÷ 5/8

Copy dot flip

3/4 * 8/5

Rewriting

3/5 * 8/4

3/5 *2

6/5

Changing from an improper fraction to a mixed number

5/5 +1/5

1 1/5

Answer:

[tex]\frac{6}{5}[/tex] = [tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of
[tex]\pi[/tex]

Answers

Answer:

288

Step-by-step explanation:

Just took test on edg

Simplify the square root of 18

Answers

Answer: [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{3*6}[/tex] = [tex]\sqrt{3*3*2}[/tex] = [tex]\sqrt{3^{2}*2 }[/tex] = [tex]3\sqrt{2}[/tex]

The product of 2 and 8 divided by 8 is equal to?

Answers

Answer:

2

Step-by-step explanation:

product of 2 and 8= multiply

2x8=16

Divide by 8

16/8=2

Andrea got 3 times as much candy than Stacy.If Stacy and Andrea got 28 pieces,how many pieces did Andrea get?

Answers

Answer:

Step-by-step explanation:

28x3=84

Answer:

The answer is  84

Because 28x3=84

Three friends equally share 1/2 of a pizza how much of the pizza does each friend get

Answers

The answer to this problem is 1/6.

The share of the pizza each friend will have is 1 / 6.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that three friends equally share 1/2 of a pizza. The fraction of the pizza shared by each friend will be:-

Fraction of pizza = ( 1 / 2 ) x ( 1 / 3 )

Fraction of pizza = ( 1 / 6 )

Therefore, the share of the pizza each friend will have is 1 / 6.

To know more about expression follow

https://brainly.com/question/17220365

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40 POINTS URGENT PLEASE HELP
a.) $385
b.) $430
c.) $444
d.) $480

Answers

Answer:

The amount of loan ($20000) after 48 months with 1.5% (0.015) interest rate  is calculated by:

A = 20000 x (1 + 0.015/12)^48

   = 21235.94$

Monthly payment of Grace is calculated by:

M = A/number of month

   = 21235.94/48 = 442.4 = ~444$

Hope this helps!

:)

P.S: I did try the amortization formula, but something wrong with my calculator. I used other formula instead :)

Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robin’s age. How old is Gwen?

Answers

Answer:

35 years old.

Step-by-step explanation:

To find the age of Gwen, multiply Robin's age, which is 11, by 3, which gives you 33. Then add two to 33 to get Gwen's age, which is 35 years.

Answer:

Gwen is 35 years old

Step-by-step explanation:

In order to understand the word problem better, I turned it into and equation.

Since Gwen is 2 years older than 3 times Robins age, the equation would be:

Gwens age = (3 • Robins age) + 2

G = (3 • 11) + 2

G = (33) + 2

G = 35

So Gwen is 35 years old.

A rectangular vegetable patch has an area of 56 square meters and a
perimeter of 30 meters. What are the dimensions of the vegetable patch?
meters by
meters

Answers

Answer:

The dimensions of the vegetable patch is 8 m by 7 m.

Step-by-step explanation:

Area of a vegetable patch is 56 square meters and the perimeter is 30 m.

If l is length and b is breadth, then area and perimeter of a rectangle is given by :

[tex]A=l\times b[/tex]

[tex]P=2(l+b)[/tex]

Substituting the values in the above formulas as :

[tex]l\times b=56\ ....(1)[/tex]

and

[tex]2(l+b)=30\\\\l+b=15\ .....(2)[/tex]

We need to solve equation (1) and (2) to find the values of l and b such that :

Equation (2), l = 15 - b

Equation (1) becomes,

[tex](15-b)b=56\\\\b=7\ m, 8\ m[/tex]

If b = 7 m, so, l = 8 m

If b = 8 m, l = 7 m

So, the dimensions of the vegetable patch is 8 m by 7 m.

About 10% of the population is left-handed. Use that statistic to answer the questions below.

Answers

Answer:

What is the question?

Step-by-step explanation:

How many cubes with side lengths of 1/2 does it take to fill the prism? The prism has dimensions of 1, 2, and 2 1/2 cm

Answers

Answer:

The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8

length x width x height = volume

1x2x2.5=5

2 1/2 = 2.5 because 1/2=0.5

to divide fractions multiply the reciprocal. The reciprocal is the fraction flipped over

5 / 1/8 = 5 x 8/1

5x8/1=40

40 cubes

Step-by-step explanation:

A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4

Answers

Answer:

hope this helps you

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 564 randomly selected adults showed that 56​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Answers

Answer:

The value of z test statistic is 2.871.

Step-by-step explanation:

We are given that a software firm survey of 564 randomly selected adults showed that 56​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Let p = population proportion of adults who would erase all of their personal information online if they could.

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%      {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}

Alternate Hypothesis, [tex]H_A[/tex] : p > 50%     {means that majority of adults would erase all of their personal information online if they could}

The test statistics that would be used here One-sample z test for proportions;

                            T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of adults who would erase all of their personal information online if they could = 56%

           n = sample of adults taken = 564

So, the test statistics  =  [tex]\frac{0.56-0.50}{\sqrt\frac{0.56(1-0.56)}{564} {} }[/tex]

                                       =  2.871

The value of z test statistic is 2.871.

The range of which function includes -4

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

just took the quiz on edge

Work out the volume of this cylinder.

Give your answer rounded to the nearest whole number.

image will be provided shortly

Answers

Answer:

24618 mm^3

Step-by-step explanation:

V = pi r^2 h

We know the diameter

r = d2/ = 28/2 = 14

V = pi (14)^2 (40)

Approximating pi to 3.14

V = (3.14 ) 14^2 *40

V =24617.6

Rounding to the nearest whole number

V = 24618

Find the slope and y intercept of the line y= 3x-6

Answers

Answer:

slope = 3

y-int= -6

Step-by-step explanation:

y=mx+b

m: slope

b : y-int

1. Solve the equation for x.
6 = -8
X =
(Use the value of x in the sum )

Answers

Answer:

The equation does not have a variable

Step-by-step explanation:

6=?-8

Answer: The equation does not have a variable to solve for x

Hope this helps.

Answer:

6÷8=0.75

Step-by-step explanation:

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What is the value of p in the equation 1/4(8-4p)+2p=12

Answers

Solution is 10. How?

I dont know if it helps but tell me if it does

I WILL MARK AS BRANLIEST!

Chad is packing to go to college he packed 6 Mario games and nine brand new textbooks in a box the total weight of the box was 21 pounds realizing the box still had room and how strong he is, he put two more games in the box the new weight of the box is 22 pounds

What is the weight of one textbook and what is the weight of one game.

Answers

Answer:

0.5 pounds is one game

2 pounds is one textbook

Step-by-step explanation:

g = games

t = textbooks

Let's start with how much a game weighs. We know that when Chad added two more games the weight of the box increased by one pound (it was previously 21 pounds and then went to 22 when the two games were added). This means one game equals half of a pound (or 0.5 lbs.)...

[tex]2g = 1[/tex]

[tex]\frac{2g}{2} = \frac{1}{2}[/tex]  -> if you divide one side by two, you must do the same to the other.

[tex]g = \frac{1}{2} = 0.5[/tex]

Now that we know the weight of the games, we can figure out the weight of the textbooks.

[tex]6g + 9t = 21[/tex] -> 6 games and 9 textbooks weigh 21 pounds.

Plugging in that each game is 0.5 pounds...

[tex]6(0.5) + 9t = 21[/tex]

[tex]3 + 9t = 21[/tex]

[tex]3 - 3 + 9t = 21 - 3[/tex]

[tex]9t = 18[/tex]

[tex]\frac{9t}{9} = \frac{18}{9}[/tex]

[tex]t = 2[/tex]

That means that each textbook equals 2 pounds.

I hope this helps!

Calculate the value of B in the triangle below.

Answers

Answer:

30

Step-by-step explanation:

The calculation is in the image

I need help please and thank you

Answers

Answer:

A

Step-by-step explanation:

Here you can check by trying points along the number line that are not included in the other number line. For example, x = -3 is included in A but not in B and x = -5 is included in B but not in A.

If x = -3, the inequality 5x > -20 is true because -15 > -20.

If x = -5, the inequality 5x > -20 is false because -25 is not > -20.

There for the answer should include x = -3 and not include x = -5, so A.

1
2
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is
true?
Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard.
3x3-9
Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard length, depth, and height
3x3-9
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion wil
remain constant
Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3ft, 3x3ft
A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft
Helppppp

Answers

Answer:

Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

lanation:

Answer:

The short answer you are looking for is C!

Step-by-step explanation:

I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3

What are the domain and range of g(x)=−14(x−21)2+47?

Answers

Answer:

Step-by-step explanation:

Let's solve for g.

gx=(−14(x−21))(2)+47

Step 1: Divide both sides by x.

gx

x

=

−28x+635

x

g=

−28x+635

x

Answer:

g=

−28x+635

x

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Which statement represents an important christian belief? Simplify cos[arccsc((23)/3)]. How can recent government spending be best described?O A. Balanced with revenuesB. Constantly increasingO C. Based on progressive goalsD. Used only for public goodSUBMIT Tellurium is a period 5 chalcogen. Selenium is a period 4 chalcogen. If the only factor affecting ionization energies was the nuclear charge, then electrons would be easier to remove (ionize) from Se than Te. Experimentally the opposite is true. It takes 941.0 kJ/mol of energy to ionize the outermost electron from Se while it only takes 869.3 kJ/mol to ionize from Te. A good model should account for this. Quantum mechanical calculations do predict this but require access to sophisticated software, large amounts of computing power and technical expertise. Slater suggested that some simple empirical rules that take into account electron electron repulsion (or shielding) could give a good estimate of the effective nuclear charge (Zeff). The Zeff for the outermost electron in Te is . The Zeff for the outermost electrons in Se is . According to Slater's calculation of effective nuclear charge (does or does not) predict the correct ordering of ionization energies for Se and Te. A better means of rationalizing ionization energies is to include the atomic as follows: [Z subscript e f f end subscript over r squared] . For Te, r = 136 pm and for Se r = 117 pm. This new model (does or does not) predict the correct ordering of first ionization energies for Se and Te. Use the laws of exponents to express 9-3/2 82/3 as a simple fraction. Show the steps in the simplification What condition is required for fermentation to occur? A. When oxygen levels within a cell are too low for aerobic respiration B. When the energy production cycle ends of the Krebs cycle C. When a glucose molecule needs to break down completely D. When 20 molecules of ATP are needed\ my Chemistry questionsHow can you burn an apple, blueberry, rose and pumpkin without leaving any ashes but retaining the smell of it? B-Fill in the blank with the verb (in parentheses) in the present tense.1 Nous(finir) les cours cinq heures2. Aprs les cours, on(aller) souvent au parc.3. Je(jouer) au foot avec mes copains.4. Tu(vouloir) acheter une voiture If the diameter of a semi circle is 8 inches what is a semi circles radius Help ya girl out please Which of the following is a way that freedom of the press influences the actions of individual citizens? A. It enables them to read a variety of opinions without government interference. B. It enables them to determine whether bias is present in the media industry. C. It allows people to publish national security secrets in online blogs or journals. D. It allows people to spread untrue statements about people they do not like. What is the effect of the words "the living joy that sang one spring morning, sending its glad voice across an hundred years"? what is antibody affinity maturation? what the answer please answer quick need help neptune ran 0.06 mile in the morning and 0.45 mile in the afternoon. Did she ran more in the afternoon or morning? In this text, what is the definitionof checks?A stopsB marksC pieces of paper used to pay billsD examines hey can anyone pls help me out in dis rq i will give 30 points Phenotype is the physical representation of a genotype. TRUE OR FALSE? What is the meaning of erosion? 3.A thin lead apron is used to protect patients from harmful X rays. If the sheet measures 75.0 cm by 55.0 cm by 0.10 cm, and the density of lead is 11.3 g/cm3, what is the mass of the apron in grams?