Does the given matrix, A, have an inverse? If it does, what is A-¹? (1 point)

Answers

Answer 1

The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.

The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.

Inverse of  matrix:

A^(-1)=Adj A/|A|

A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2  matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.

There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.

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Related Questions

PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!

Answers

41.7 !!!!!!!!!!!!!!!!!

3x - 2y = 15
x = 3

the two lines given by the equations above interest in the xy-plane. What is the value of the y-coordinate of the point of intersection?

Answers

Step-by-step explanation:

y-intersec is (0,y)

sub x=0 in 3x-2y=15

3*0-2y=15

0-2y=15

y=-15/2

I think the answer is a a a a a a a. As. A a a a a a a. A a a a a a a a

The number of species, N, on an island as a function of the area, A, of the island is N=kA‾‾√3.

(a) What is the exponent of this power function?

Answers

-[tex]\sqrt{3}[/tex] is the exponent of the power function.

The power function is generally just f(x) = c x^p for some constant c and some real number exponent p. (It can only be defined for positive values ​​of x.) For example, the square root function f(x) = √x is a power function with p = 1/2.

In this case, N=kA‾‾√3 , -[tex]\sqrt{3}[/tex] is the exponent of this function.

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b to the n".

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The exponent of the power function is 1/2.

How often we are multiplying a number by itself is indicated by its exponent. To multiply 3 four times, for instance, we get 34. It is 3333 in its enlarged form. A number's power is another name for an exponent. It may take the form of an integer, a fraction, a negative integer, or a decimal.

A fractional exponent is one where the exponent of a number is a fraction. Parts of fractional exponents include square roots, cube roots, and nth roots. Square root of the base is a number having a power of half.

Hence we get the exponent of the function as 1/2.

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Help!

solve for x 13,14, and 16 only!!!

Answers

Answer:

13:

x= 86°

14:

x= 30°

16:

x= 59°

A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $245,000 for
the same year. Complete the following statements:
a. Seattle's sales were
% larger than Portland's.
b. Portland sales were
% smaller than Seattle's.
c. Portland sales were
% of Seattle's.

Answers

I believe that a) is 54% b) is 35% and c) is 65%

You are laying brick for a custom circular patio fire pit. The radius of the fire pit is 36 inches. In square feet, what
amount of patio space is needed for the fire pit?
O 9.42 square feet
O 28.26 square feet
O 113.04 square feet
226.08 square feet
4,069.44 square feet

Answers

Answer:

The answer is 28.26 square feet.

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], so if the radius is 36, [tex]\pi *36^{2}[/tex] is equal to about 4071.5. The formula for converting square inches to square feet is to divide by 144, and [tex]\frac{4071.5}{144}[/tex] is around 28.26.

please help right answer will get brainliest

Answers

Answer:

[tex]\sf y = \dfrac{x }{\boxed{26}} +\boxed{-2}[/tex]

Step-by-step solution:

[tex]\rightarrow \sf x - 26y = 52[/tex]

[tex]\rightarrow \sf - 26y = 52-x[/tex]

[tex]\rightarrow \sf - 26y = -x + 52[/tex]

[tex]\rightarrow \sf y = \dfrac{-x + 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{-x }{-26} + \dfrac{ 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{x }{26} -2[/tex]

f(x)=5x-12what is f(-4)

Answers

f(-4x) = 5(-4)-12
multiply 5(-4) and get -20
-20 and add -12
answer is -32

Find the value of a and b, so that the system of equations has a solution (2, -3)
3x + 5y + 9 = 0

ax + by = 11

Please give an explanation with the answer, thats what im most worried about. 100 points :3

Answers

Hi
Check out the attached photo

Btw, for any k we will have a set of answers for a and b.
Like if we put k=1 than one answer would be: a=10 & b=3
And so on

Hope this helps
Comment, if something is not understandable

Question 6
WORLD RECORD The world's largest ice cream cake was created on May 10, 2011, in Toronto, Canada. The cake
was 4.45 meters long, 4.06 meters wide, and 1 meter tall. All surfaces of the cake except the bottom were covered
with a cookie crumble topping. Use an appropriate two-dimensional model to approximate the area covered by the
cookie crumble topping. Round your answer to the nearest tenth of a square meter.

Answers

The surface area covered by the rectangular cookie crumble topping is of 35.1 m².

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

For this problem, the bottom is not covered, hence the surface area will be of:

S = 2(hw + lh) + lw.

The dimensions are given as follows:

l = 4.45, w = 4.06, h = 1.

Hence the surface area is:

S = 2(4.06 x 1 + 4.45 x 1) + 4.45 x 4.06 = 35.1 m².

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COULD YALL HELP ME ?!???!

Answers

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

A teacher has 15 weeks in which to teach six chapters. Write and then solve
an equation that represents the number of lessons the teacher must teach per week if
there is an average of 8.5 lessons per chapter.

Answers

8.5 x 6 = 51 total lessons. 51 lessons/15 weeks= 3.4 lessons per week

Graph the following system of inequalities on the coordinate plane. You will need to explain your work. Each correct line graphed WITH the correct explanation and shading is worth TWO points.
Please tell me how you graphed each line and how you determined where to shade

Answers

Answer:

See attached graphs Graph1, Graph2 and Graph3 and detailed explanation below

Step-by-step explanation:

The process for plotting and shading are essentially the same but with different inequalities

To plot any line

We need two pointsPlug in a value for x and find the corresponding y valueRepeat for another x value and find the corresponding y valueDraw a straight line through the two points

To determine area to shade

Choose a point on either side of the line from the graph. See if the corresponding (x,y) values satisfy the inequality. If they do, then that's the area to shade. If not, shade the other area

1. Inequality y > -3x - 2

The line equation is y = -3x -2

Let's choose x = 0. Then y = -3(0) -2 = -2. So one point is (0, -2)

Choose another value for x, say x = 1

y = -3(1) - 2 = -3-2 = -5. So another point is (1,-5).

Draw a straight line through both points (see attached Graph1)

Determining area to shade

Choose a point on the graph on one side of the line. Let's choose (1,2). So x = 1 and y = 2. Does this satisfy the inequality y = -3x -2? Let's see

Is 2 > -3(1) - 2 ?

2 > -3-2 ?

2 > -5 ? YES since a positive number is greater than a negative number. So the area containing (1,2) should be shaded as shown in Graph 1

2. Inequality 4x + 5y ≤ 20

Line equation is  4x + 5y =20

Convert to a function of x as follows

Subtract 4x from both sides ==> 5y = 20 -4xDivide by 5 both sides ==> y = 20/5 - (4/5)x  ==> y = 4- 4x/5

Choose two values of x and find corresponding y values to get the coordinates of two points

Plug x = 0 into line equation ==> y = 4- 4x/5

==> y = 4 - 4(0)/5 = 4

==> (0, 4) is one point

Choose another value of x, say 5(this is a convenient value since we are dividing by 5)

==> y = 4- 4(5)/5 = 4-4 = 0

==> (5, 0) is another point

Draw straight line through (0,4) and (5,0)

To determine area to shade let's choose a point on the graph. (0,0) is a convenient point.  Do the values of x=0 and y=0 satisfy the inequality
4x + 5y ≤ 20?

Plugging in x = 0 and y = 0 gives us

4(0) + 5(0) = 0 and 0 is indeed ≤ 20

So the inequality is satisfied at (0,0)

Shade the region on the side of the line where (0,0) is (see Graph2)

3. Inequality y > -4

The line equation is y = -4

Since this equation does not involve x, the line plot will be a horizontal line at y = -4 for all x values

Simply draw a horizontal line which crosses the y axis at y = -4

To determine which area to shade, choose a point. Use (0,0)

Does y = 0 satisfy the inequality y > -4?

0 > -4 so indeed the point (0,0) satisfies the inequality. Just shade the area on the side of the line which contains (0,0). This will be the region above the line y = -4 See Graph3

Hope that helps :)

Write the next three terms of the following sequences.

5⁄8, 13⁄8, 21⁄8, 29⁄8, 37⁄8, ...

Answers

Answer:

45/8

Step-by-step explanation:

Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how many dollars he'll spend (d)(d)left parenthesis, d, right parenthesis when he buys some number of boxes of cookies (c)(c)left parenthesis, c, right parenthesis:
d=4cd=4cd, equals, 4, c
Identify the dependent and independent variables.

Answers

The number of boxes of cookies Kai buy : independent variable

The amount of the cookies will cost in dollars : dependent variables      

Based on the given conditions, formulate,

Each box of cookies costs is = \$4$4dollar (sign, 4).

Cookie represented by c

The required equation is,

d = 4cd = 4cd = 4c

The price is determined by the number of cookies purchased.

c is the independent variable

when c is changes d is changed

So, d is the dependent variable    

variables of the equation.          

So,

We can write,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Then, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is = $4.

The cost of 2 boxes of cookies is = $(4+4)  = $(2×4)

The cost of 3 boxes of cookies is = $(4+4+4)  = $(3×4)

The cost of cookies = (Number of boxes × 4)

The required equation is,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Therefore,

The boxes of cookies Kai buy : independent variable

The cookies will cost in dollars : dependent variables    

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Boxes of cookies (c) is Independent.

Dollars spent (d) is Dependent.

P(n), given below, is the price in dollars for n grams of vitamins.

P(n) = 0.2n + 5.3

Complete the following statements.

(a) which statement best describes (p^-1) (x)?
(See picture)

(b) p^-1 (x) =

(c) p^-1 (6.6) =

Answers

The statement that best describes the expression p-1(x) is (c) the amount for x grams

How to complete the statements?

The equation of the function is given as

P(n) = 0.2n + 5.3

(a) which statement best describes (p^-1) (x)?

The function is given as

P(n) = 0.2n + 5.3

This means that the inverse of the function is represented as p-1(n)

Hence, the statement that best describes the expression p-1(x) is (c) the amount for x grams

(b) The function p^-1 (x)

We have

P(n) = 0.2n + 5.3

Rewrite as

y= 0.2x + 5.3

Swap x and y

x = 0.2y + 5.3

Make y the subject

y = 5x - 26.5

Express as inverse function

p^-1(x) = 5x - 26.5

(c) The value of p^-1 (6.6)

We have

p^-1(x) = 5x - 26.5

This gives

p^-1(6.6) = 5 x 6.6 - 26.5

Evaluate

p^-1(6.6) = 6.5

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What is 9 x 5.63 show how you got your answer.

Answers

Answer:50.63

Step-by-step explanation: line them up on top of each other and multiply 9 by all them and if its over 10 put the 2nd digit the the next number.

a. A group of 30 students were surveyed and it was found that 18 of them took
Calculus and 12 took Physics. If all students took at least one course, how
many took both Calculus and Physics? Illustrate using a Venn diagram.

Answers

No student took both calculus and physics out of the 30 students.

Given that, total number of students are 30. Out of which 18 took calculus and 12 took physics. Then, we have to calculate how many took both calculus and physics. So, by using venn diagram we have,

Total number of students = 30

Students who took calculus = P(A) = 18

Students who took physics = P(B) = 12

Students who took both calculus and physics = P(A∩B) = x

Students who took only physics = P(B)-x = (12-x)

Students who took only calculus = P(A)-x = (18-x)

From venn diagram, we get

(18-x)+x+(12-x) = 30

18-x+x+12-x = 30

⇒ x = 0

∴ P(A∩B) = 0

Therefore, No student took both physics and calculus.

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One day total attendance at the state fair was 126,945. Round 126,945 to the nearest ten thousand, nearest ten thousand and the nearest thousand. Which of these rounded amounts is closest to the actual attendance?

Answers

Answer: To the nearest thousand.

Step-by-step explanation:

   First, we will round 126,945 to the requested place values;

(it says ten thousand once, so I'm going to include hundred thousand)

hundred thousand ➜ 126,945 ➜ 100,000

ten thousand ➜ 126,945 ➜ 130,000

thousand ➜ 126,945 ➜ 127,000

   Next, we will subtract these values from 126,945, and see which absolute value is the smallest.

hundred thousand ➜ 126,945 - | 100,000 | = 26,945

ten thousand ➜ 126,945 - | 130,000 | = 3,050

thousand ➜ 126,945 - | 127,000 | = 55

   The rounded amount that is closest to the actual attendance is thousand.

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4Y-4(-2z+6y)-2z simplify

Answers

The simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to simplify the expression?

The expression is given as

4y - 4(-2z + 6y) - 2z

Open the bracket

4y - 4(-2z + 6y) - 2z = 4y + 8z - 24y - 2z

Collect the like terms

4y - 4(-2z + 6y) - 2z = 4y - 24y  + 8z - 2z

Evaluate the like terms

4y - 4(-2z + 6y) - 2z = -20y  + 6z

Hence, the simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

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(-5, 0) and (8, 0)
Quadratic function

Answers

We need to know about roots of a quadratic equation to solve the problem. The quadratic equation is [tex]x^{2} -3x-40=0[/tex]

Quadratic equation is an equation with the highest degree of the variable being 2. A quadratic equation has two roots. The two roots can be real and different or real and equal or imaginary. The roots of a quadratic equation can be found using factorization method. The roots of a quadratic equation can be used to find the quadratic equation itself. Here in this question we have two points (-5,0) and (8,0). These points lie on the x-axis hence we can say that they are the two roots of the equation and the quadratic equation is in terms of x since it cuts the x-axis. Hence we can say that the two roots of the equation are -5 and 8.

For a quadratic equation [tex]ax^{2} +bx+c=0[/tex] let us say that the roots are α and β

α+β=-b/a

αβ=c/a

Here α and β are -5 and 8

-5+8=-b/a ⇒b/a=-3

c/a=-5 x 8=-40

The quadratic equation is given by [tex]x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex] which is [tex]x^{2} -3x-40=0[/tex]

Therefore we found the quadratic equation using the two points given, the equation is [tex]x^{2} -3x-40=0[/tex]

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what is the value of x??
please help!!

Answers

20 is the answer your welcome

I’ll give braniest
Find the coordinates of the point
7/10 of the way from A to B.

Answers

[tex]\textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-8})\qquad B(\stackrel{x_2}{10}~,~\stackrel{y_2}{5})~\hspace{8em} \frac{7}{10}\textit{ of the way from A to B} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{10}-\stackrel{x_1}{(-3)}~~,~~ \stackrel{y_2}{5}-\stackrel{y_1}{(-8)})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AB}}}{\left( 13 ~~,~~ 13 \right)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\left( \stackrel{x_1}{-3}~~+~~\frac{7}{10}(13)~~,~~\stackrel{y_1}{-8}~~+~~\frac{7}{10}(13) \right)\implies \left(-3+\cfrac{91}{10}~~,~~-8+\cfrac{91}{10} \right) \\\\\\ \left( \cfrac{-30+91}{10}~~,~~\cfrac{-80+91}{10} \right)\implies \left(\cfrac{61}{10}~~,~~\cfrac{11}{10} \right)\implies \left(6\frac{1}{10} ~~,~~1\frac{1}{10} \right)[/tex]

Solve - 3g-2| +1 < 6.

Answers

Answer: 18=18

Step-by-step explanation:

find the inverse of this grapg

Answers

Answer:

Can you please send the picture of the graph

Step-by-step explanation:

If Alpha and Beta are the roots of 2x² - 5x - 6=0, find the equation whose toots are ( Alpha -1) and (Beta+1).
pls help with this and lots of explanations.Tnx​

Answers

Answer:

[tex]x = 28[/tex]

[tex]2x { } ^{2} - 5x - 6 = 0[/tex]

jon started driving west 2 hours ago and has gone 80 mph. What is his veolcity?

Answers

Answer:

Either 40 or 80, depending on whether you worded the question correctly or not.

Step-by-step explanation:

If you mean he has gone 80 miles:

velocity is distance per time, so 80miles/2hours = 40 miles/hour

If you mean he is going 80mph, then the answer is in the question, 80 miles/hour and the distance he has traveled is in miles, therefore you need to multiply by hours, i.e., 80*2=160 miles.

graph each function and give its domain
f(x) = √x - 2

Answers

Domain = ∈ [2, ∞]

Range = ∈ [0, ∞]

Graph [tex]\sqrt{x - 2 [-10, 10, -5, 5]}[/tex]

Just outline the function.

The typical root operation is:

[tex]y = a * \sqrt{(x - h)} + k[/tex]

where x - h ≥ 0

The value within the root sign of a square root function CANNOT be < 0

∴ x - h ≥ 0

∴ x ≥ 2

Therefore, Domain = ∈ [2, ∞]

Regarding range, the function we were provided doesn't have a K value.

As a result, the range spans from 0 to infinity.

Therefore, Range = ∈ [0, ∞]

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During a marathon, Amy was in second place and was told that the leader was 100 meters ahead of her and that the closest runner behind her was 75 meters back. On a number line, let's say Amy's position is at 0, and the leader's position is on the positive side of 0. Which number sentence correctly compares the distance between Amy and the runner behind her to the distance between Amy and the leader?
A) |-75|< |-100|
B.|-75|<|100|
C.|75|=|-100|
D.|-75|>|100|

Answers

Answer:c

Step-by-step explanation:

c

distance between (4,9) (9,2)

Answers

The distance between the two points is 8.6 units

How to determine the distance between the two points?

The points are given as

(4, 9) and (9, 2)

The distance between the two points is then calculated as

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(4 - 9)^2 + (9 - 2)^2

Evaluate the sum of exponents

So, we have

d = √74

Evaluate the exponents

So, we have

d = 8.6

Hence, the distance between the two points is 8.6 units

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Solve the equation A =2r*2 + 2rh, for h i started at my new school today. it was not what i imagined at all. (1) the math teacher insisted that the class be quiet and respectful, but some students ignored her. they were very distracting. (2) if i had known those students better, i would have asked them to be quiet. (3) later, at lunch, a new friend suggested that i will not eat the meatloaf. i saw it, and it looked strange. (4) if i keep buying lunch in the cafeteria, i will definitely always skip the meatloaf. where is the error a handbook lists the density of lead as 11.3 g/ml. several groups of students are attempting to determine the density of a lead weight by various methods. calculate the average density measured by each group, and the percentage error in each average. 30 points!!! But I need a 2 step problem with variables on both side and a fraction that equal 23 which action is caused by gravity? glaciation glaciation frost wedging frost wedging mass wasting mass wasting aeolian bands after texting guzzo, why does paul think that something big is happening The Evans family drives 21 miles in the first miles in the first 20 minutes of their trip. what is their speed in miles per hour during this time? create a representation to show your work. if an external disaster will mean your hospital exceed its tyson's capacity you must notify community authorities 7+(2x3) 5-6(9 divided by 5)= 6Which of the following is NOT something that would lead astronomers to believe a black hole might be close-by in space?A.an object that has gas and dust appear to be funneling around an objectB.an object that has spinning particles around an emptiness in space that emit x-raysOC.an object that has height and depth but no widthOD. an object in space with highly elevated temperaturesResetNext Simplify (24)1. one over two raised to the power of negative four one over two raised to the fourth power 24 23 Over which two cases would the Supreme Court have original jurisdiction?a case in which the U.S. government is a defendanta case involving a dispute between Arizona and Nevadaa case in which a person sues a business for damagesa civil rights case against a city government what is the value of x?!?please help! germinate (jr-m-,nt) v. [Latin]to come into existenceto put forth shootsto cause to growto start to developWhat is the meaning of the word germinating in the sentence below?Zara jotted down the ideas for a new novel that had been germinating in her mind over the last few days. A. definition 2 B. definition 4 C. definition 1 D. definition 3 Find the value of the expression: 3 (2 + 6)2 a. 114 c. 48 b. 192 d. 144 90% of what number is 45? Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. A flat surface of area 3.20m is rotated in a uniform electric field of magnitude E=6.20 10N . m/C . Determine the electric flux through this area (a) when the electric field is perpendicular to the surface Please help (100 Points) In the diagram mACB=25 and CE bisects DCF. explain how to find mDCE