Does this matrix have an inverse?why or why not ?

Does This Matrix Have An Inverse?why Or Why Not ?

Answers

Answer 1

Answer:

C. No, because it's determinant is zero

Step-by-step explanation:

[tex]A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix} [/tex]

[tex] det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix} [/tex]

[tex] det(A) = 16\times (-2)-(-4)\times 8[/tex]

[tex] det(A) = -32+32[/tex]

[tex] det(A) = 0[/tex]

Answer 2

This matrix have no inverse, because it's determinant is zero.

It is given a 2*2 matrix of order 2.

To find this matrix have an inverse or not.

What is determinant?

A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.

The given matrix is

A= [tex]\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right][/tex]

det A=16*(-2)-(-4)*8=0

det A=0

So, this matrix have no inverse, because it's determinant is zero.

Learn more about determinant here:

https://brainly.com/question/20367047

#SPJ5


Related Questions

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

If f(x)=6x-2, what is the value of f(4)?

Please explain I don’t understand these questions.


Answers

Plug 4 for x
f(4) = 6(4) - 2
f(4) = 24 - 2
Solution: f(4) = 22

Answer:

I think it might be 16 or 24.

Step-by-step explanation:

Pardon if I'm wrong.

Write the linear equation in slope-intercept form 4x + y = 10

Answers

Answer:

y=-4x+10

Step-by-step explanation:

you subtract 4x on both sides

What is 60 + 9.000000000

Answers

Answer:

69

Step-by-step explanation:

Answer:

69.000000000

Step-by-step explanation:

add 60 plus 9.000000000 and you get 69.000000000

Which angle(s) is/are supplementary?

Answers

Answer:

Two Angles that add up to 180

Step-by-step explanation:

90 degrees+ 90 degrees= 180 degrees

160degrees+ 20 degrees= 180 degrees

Hope this helps!

B=14 what is 3b-5
Please help me someone

Answers

Answer:

37

Step-by-step explanation:

14×1

24×2

42×3

42-5 = 37

13. I have 22 nickels, dimes and quarters worth $3.45. There are twice as many quarters as nickels. Find the number of each coin.

Answers

Answer:

12 nickels 4 dimes 3 quaters

Step-by-step explanation:

PLEASE ANSWER QUICKLY!

Answers

Answer:

once you have a common denominator, you simply add the numerators together and then simplify.

Step-by-step explanation:

Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs

Answers

Answer:

Step-by-step explanation:

23

? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?

Answers

Answer:

13

Step-by-step explanation:

125 - 60= 65

65/5= 13

itll take her 13 weeks

A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month

Answers

Answer:$27,57

1)find out how much wallets cost in the first month:

24,50 -100%

х      - 125%

х= 24,50*125/100 ≈ 30,63

2)we will find out how much the wallets cost after the price is reduced by 10%:

30,63 - 100%

х         -90%

х=30,63*90/100 ≈ 27,57

Step-by-step explanation:

Which expression is equivalent to -3(4x-0.50)?
PLEASEEEEEEEEEEEEE HELPPP

Answers

Final Answer: [tex]-12x + 1.5[/tex]

Steps/Reasons/Explanation:

Question: Which expression is equivalent to [tex]-3(4x - 0.50)?[/tex]

Step 1: Expand by distributing terms.

[tex]-3[/tex] × [tex]4x - 3[/tex] × [tex]-0.50[/tex]

Step 2: Simplify [tex]-3[/tex] × [tex]4x[/tex] to [tex]-12x[/tex].

[tex]-12x - 3[/tex] × [tex]-0.50[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]-0.50[/tex] to [tex]-1.5[/tex].

[tex]-12x - (-1.5)[/tex]

Step 4: Remove parentheses and add.

[tex]-12x + 1.5[/tex]

~I hope I helped you :)~

please can someone help me!! :(

Answers

Answer:

G

Step-by-step explanation:

Distribute the -7 to 4x and -5

Answer:

Hey!

The answer is

-7x (4x - 5)

When you multiply them you get

[tex]-28x^{2} + 35[/tex]

So, Option G is the right answer!

Lizzie buys 3 clocks for a total cost of £50 at a car boot sale. She sells 2 clocks for £22 each and the other for clock for £20 Lizzie thinks she has made a 30% profit

Answers

Answer:

yes she made  30% profit it says she sell 2 clocks for 20 and 22 each for the  other ones

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

135 the person above e is correct

Step-by-step explanation:

The difference of 2 numbers is 7. The sum of those numbers is 23. What are the 2 numbers?

Answers

Let's write this question as a systems of equations to solve.

x-y=7 (the difference)

x+y=23 (the sum)

Through the process of elimination we get

2x=30

x=15.

With that value of x, we can plug it back into any of the previous equations to get the value of y.

(15)-y=7 (Solve for y)

y=8.

The two numbers are 15 and 8.

Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same amount of brush each day.
Complete the table to determine how many days it will take Tim to clear 1 acre and how many acres Tim will clear in 8 days.
Use the drop down menus to select your answers.

Answers

Answer:

first box is 3 and second is 2 2/3

i need help.please explain and solve the problem.thank you so much that's 4th grade math​

Answers

Answer:

7x50=350

Step-by-step explanation:

There are 50 tables. Each table has 7 legs. How many legs altogether? ANSWER IS 350

How many different ways can 5 events be ordered?

Answers

Answer:120 ways

Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

Step-by-step explanation: LET ME BE!

helppp with the photo attached

Answers

Answer:

A

Step-by-step explanation:

Find the value of x, given that the m∠2=2x+16

a) -11
b) 11
c) 10
d) 12

Answers

Answer:

Option D

Step-by-step explanation:

Given → Two sides of the triangle are equal in measure.

Therefore, given triangle is an isosceles triangle.

By the property of isosceles triangle, opposite angles of the equal sides of a triangle are equal in measure.

m∠A = m∠B = 70°

m∠A + m∠B + m∠C = 180°

70° + 70° + m∠C = 180°

m∠C = 180 - 140 = 40°

Since, m∠C = (2x + 16)°

(2x + 16)° = 40°

2x = 40 - 16 = 24

x = 12

Therefore, Option D will be the correct option.

ashton needs a total of $1.50 in quarters for a coin- operated car wash. He already has $0.75. which equation can be used to find q, the number of additional quarters ashton needs in order to have enough money for the car wash?

Answers

.75+q=1.50 :)!!!!!!!

Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?

Answers

Answer:

The lines will not intersect, because this system has no solutions

Step-by-step explanation:

Answer:

They will not intersect!

Step-by-step explanation:

A-P-E-X

each package of paper contains 100 sheets. At the beginning of the school year, each of Mr.Castillo 's 34 students brought in one package of paper. How many sheets of paper did the students bring in altogether??

Answers

Answer:

3400

Step-by-step explanation:

Just multiply 100 by 34.

Urgently need this my kid is confused and so am I.

The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?

Answers

Answer:

The other equation is [tex]x + y = 21[/tex]

The length and width are 13 and 8

Step-by-step explanation:

Given

[tex]Perimeter = 42[/tex]

[tex]y = x - 5[/tex]

Required

What is the other equation for the length and width?

x and y represents the length and width respectively.

The perimeter of a rectangle is calculated using:

[tex]Perimeter = 2 * (length + width)[/tex]

In this case, it is:

[tex]Perimeter = 2 * (x + y)[/tex]

Substitute 42 for perimeter

[tex]42 = 2 * (x + y)[/tex]

Divide through by 2

[tex]21 = x + y[/tex]

[tex]x + y = 21[/tex]

Required: The values of length and width

We have that:

[tex]y = x - 5[/tex]

[tex]x + y = 21[/tex]

Substitute x - 5 for y in the second equation

[tex]x + x - 5 = 21[/tex]

[tex]2x - 5 = 21[/tex]

Add 5 to both sides

[tex]2x - 5 + 5 = 21 + 5[/tex]

[tex]2x = 26[/tex]

Divide through by 2

[tex]x = 13[/tex]

Substitute 13 for x in [tex]y = x - 5[/tex]

[tex]y = 13 - 5[/tex]

[tex]y = 8[/tex]

Hence, the length and width are 13 and 8 respectively

Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.

s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?

Answers

Answer:

27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks

Step-by-step explanation:

18w+38= should equal to $540

rephrasing this in a mathematical way would be-

18w+38=$540

18w=$540-38

18w=502

w=502/18

w=27.88

Answer:

The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)

In how many zeros does 75! end?

Answers

They have 18 zeros this is not

Please help me answer this !

Answers

Answer:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

[tex] y = -\frac{1}{2}x + 4 [/tex]

find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17

Answers

Answer:

n(x)= 5

Step-by-step explanation:

2x+7 = 17

2x = 17-7

2x = 10

x = 5

The graph of y=-3x+4 is:
A. a point that shows one solution to the equation.
B. a line that shows only one solution to the equation.
c. a line that shows the set of all solutions to the equation.
D. a point that shows the y-intercept.

Answers

the answer is C! a line that shows the set of all solutions to the equation :)
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