Arrange the matrices in increasing order of their determinant values.

Answers

Answer 1

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b


Related Questions

Please help me solve this math it’s due in 1 hour

Answers

If you count over left you get 7.5. Then count right thrashed amount & you get 15.
15 yard line would be the answer.

IK THIS ISNT MATH BUT I NEED HELP ASAP!!

The table below gives the temperature at a certain place at different times of the day for 3 days. When did the wind become much colder?​

Answers

I think it’s Tuesday afternoon. Sorry if I’m wrong!

a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.

A. Translate even units left, rotate 90 degrees clockwise about the origin.

B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2

D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.

E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3

Answers

Answer:

than originally shared this meeting will

If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.

Answers

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98

Help,no links and please don’t guess. Will give the brainliest . It is a 4 grade question

Answers

Answer:

.7 or 7/10

Step-by-step explanation:

buddy+teddy:2.9

socko+peanut:2.2

2.9-2.2=.7

You are looking for a summer job at a sneaker shop. The most popular sneakers sold are shown below:

Answers

I would like to help you but you forgot to paste the picture of the most popular sneakers. Please post a picture and I’ll be happy to help you

356-45= ????????????????​

Answers

Answer:

311

lol

Step-by-step explanation:

Answer:

Easy! It’s 311!

Step-by-step explanation:

1. Write down 356 - 45.

2. What is 6 - 5? It’s 1.....

3. What is 5 - 4? It’s 1......

4. Put the 3 in the hundreds place so your answer should be 311.

                         


3 = [?]
60°
120° 60°

Answers

Answer: 60 degrees

Explanation: a triangle needs to be 180 degrees and if there’s already 120 degrees and we have to find ty e other angle it’s going to be 60

Ps pls make me the brainliest

i don't understand these

Answers

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

Write the equation of the line in fully simplified slope-intercept form.

Answers

y = -x + 2
...............

what expression is equivalent to x^2-7x+12+(x-3)^2

Answers

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

hey! please help i’ll give brainliest

Answers

Answer:

Heyo! the answer is A since their implying it's important :)

Find the volume of the given cylinder

Answers

Answer:

The answer is 32 I just know it

Find the area and round to the nearest tenth. Giving brainlessly

Answers

Answer:

38.6 sq ft

Step-by-step explanation:

This composite figure consists of a trapezoid and a triangle on top

A(trapezoid) = 1/2h(sum of bases)

= 1/2(3.6)(7+9)

= 8(3.6)

= 28.8

A(triangle) = 1/2bh

base = 7

height = 6.4-3.6 which is 2.8

A = 1/2(7)(2.8)

= 3.5(2.8)

= 9.8

28.8 + 9.8 = 38.6

Sydney buys a new car for $24,000 and finances the car for 5 years at 2.5% interest compounded yearly. She estimates that the value of the car will decrease by 16% each year. If Sydney is able to sell the car on the day of her last car payment for the value she estimated, how much money will she have spent over the 5 years?

Answers

Answer:17,117

Step-by-step explanation:

Need help fast pleasee??

Answers

Answer:

Option 3.)    f(-3) = g(-3), since that x-value of the point of intersection

Hope this helps!

What is the value of x?

Enter your answer in the box.

Answers

Step-by-step explanation:

which class are you

just to confirm

Can someone help me with this please

Answers

Answer:

where is the diagram?

Step-by-step explanation:

Find the value of:x^0+3​

Answers

Answer:

4

Step-by-step explanation:

x^0 means 1. so 1+3=4

Points Points Points

Answers

Yesyesyes thank you have an amazing day!

Answer:

THANK YOU!

Step-by-step explanation:

What is the value of x in the figure shown below?
C
4.9
D
31°
4
111°
B В
A
4.9​

Answers

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situation and determine the first two possible solutions

Answers

Answer:

[tex](a)\ x < 150[/tex]

[tex](b)\ x = 149; x = 148[/tex]

Step-by-step explanation:

Given

[tex]Amount = 150[/tex] --- not more than

[tex]x \to[/tex] spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

[tex]Spending < Amount[/tex]

[tex]x < 150[/tex]

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, [tex]x = 149; x = 148[/tex]

HELP PLEASE HURRY 10 POINTS In the figure below, which answer choice correctly identifies the name of two
line segments?
PICTURE INCLUDED

Answers

Answer:

B.

Step-by-step explanation:

Answer:

it say 5 points scam

Step-by-step explanation:

In the diagram, three currents x, y and z are flowing in a circuit. The current y is 1 amp less than twice the current x. The current z is 2 ampere more than the current y. The total current x, y and z is 15 amperes. How many amperes is current x?

Answers

Answer:

3 A

Step-by-step explanation:

Current X = x

current Y = 2x -1

current Z = y + 2 = 2x - 1 + 2 = 2x + 1  

Here, x + y +  z = 15

x + 2 x - 1 + 2 x + 1 = 15

5 x = 15

x = 3 A

So, the current in x is 3 A.

A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?

Answers

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx

In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP

Answers

Answers:  x = 17 or x = -23

The order of the answers doesn't matter.

================================================

Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

The value of x is 17.

What is alternate exterior angle?

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

Learn more about alternate exterior angle here:

https://brainly.com/question/2279752

#SPJ2

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

Student C

Step-by-step explanation:

The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.

Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?

Answers

Answer:

$5.01 moneyyyyyy lollll

Answer:

$5.11

Step-by-step explanation:

how would i analyze this ???

Answers

Answer:

2018

Step-by-step explanation:

solve the inequality 24<5x-1

Answers

Answer:

5 < x

Step-by-step explanation:

24<5x-1

Add 1 to each side

24+1<5x-1+1

25 < 5x

Divide by 5

25/5 < 5x/5

5 < x

Answer:

X>5.

Step-by-step explanation:

First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.

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