If A is a square matrix of order 2, then det(-3A) is *
a. 3 det A
b. -3 det A
c. 9 det A
d. -9 det A
Help please.​

Answers

Answer 1

Answer:

c. 9 det A

Step-by-step explanation:

Given the following data;

Since A is a square matrix of order 2, we know that n = 2

K = 3

For any scalar k;

∣kA∣ = k^{n} ∣A∣

Substituting into the equation;

∣-3A∣ = -3²∣A∣

Simplifying, we have;

∣-3A∣ = 9∣A∣

= 9 detA

Therefore, det (-3A) = 9 detA


Related Questions

I really need help, please

Answers

Answer:

C: [tex]\frac{5}{2} + \frac{1}{2} i[/tex]

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

help me please? i needa help. am bad at maths.

Answers

Answer:

6/3 or 2 (you should probably write 2 though)

(there’s a couple notes in the pic too that will help you with slopes)

Fill in the blank with a number using digits. 11 x 26 = _____ twenty-sixes *

Answers

Answer:

286

I hope this answer helps you with your algebra

What is the 100th term of the sequence if the first term is 5
and the common difference is 2?

Answers

Answer:

505

Step-by-step explanation:

sn=2a+(n-1)d

2*5+(100-1)5

10+(99)5

505

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each.

Answers

Answer:

30.5

Step-by-step explanation:

hope that helps

Answer: 5 pizzas and 17 sodas were bought

Step-by-step explanation:

I don't have answers for a or b but I have them for c.

          Number of pizzas

      9.50n+1.25(3n+2)=68.75

         9.50+3.75n+2.50=68.75

           combine like terms

         13.25+2.5= 68.75

      subtract from both sides

     13.25=68.75-2.5

         13.35=66.25

            Divide

             n=5

         Number of sodas

        3n+2=3(5)+2=15+2=17

If you can answer this please help!

The parabola of a given quadratic function opens up. What is true about the vertex of that function?
The vertex is the maximum.
The vertex is unaffected.
There is no vertex.
The vertex is the minimum.

Answers

Answer:

D

Step-by-step explanation:

The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Vertex is a point where the rate of change or slope of the function is zero.

Since if the slope is zero it means the tangent at that point will be horizontal.

If the parabola opens up then the point where it is changing its direction will be vertex as shown below.

So vertex has a minimum value of y.

Hence "The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ2

Suppose a coin is flipped and a card is drawn from the deck. What is the probability that the coin lands on tails and the card is a Jack?
0 112
1/13
1/4
01/26

Answers

Answer:

1/26

Step-by-step explanation:

1 out of 13 would be equal to the amount of cards that would be a jack.

But you also have to take into regards the coin flip 50%chance so you would just could what the number is divided by to get the right answer. Since out come could be tails or head instead of just being one for sure for example.

Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?

Answers

Answer:

25 miles

pls tell if I'm wrong

Iman and Mark went out for lunch. Part A: Their food and beverages cost $21.75, and there was a 7% meals tax. How much was the bill? A. $1.52 B. $15.23 C. $23.27 D. $23.49 Part B: After adding a tip, the total lunch cost was $27.19. What percent tip did Iman and Mark leave? A. 25% B. 18% C. 14% D. 10%

Answers

Answer:

C- The total is $23.27

The 7% tax is $1.52

Here’s a graph of a linear function. Write the equation that describes that function
Express it in slope intercept form.

PLS HELP ITS DUE TODAY!! I WILL MARK U BRAINLIEST

Answers

it would be y= 2/4 x + 2

Answer:

[tex]y = \frac{1}{2}x + 3[/tex]

Shannon wants to buy 4 coffee mugs for the lowest amount.a set of 4 mugs costs £12

Answers

i can help, but you need to write the whole question..

Gianna and Victor both think they are the fastest texter! Gianna types 168 words in
4 minutes. Victor types 246 words in 6 minutes. Who is the REAL "fastest texter?"
Please help me

Answers

Answer:

Gianna is the faster texter. She types 42 wpm, while Victor types 41 wpm.

Step-by-step explanation:

Calculate the unit rates. Time is usually on the bottom. For example, to calculate how many words Gianna types in a minute, use the expression 168/4.

Answer:

Gianna is the faster texter

Step-by-step explanation:

168/4 = 42 wpm for Gianna

246/6 = 41 wpm for Victor

Brainliest to the right answer!

Answers

Answer: 5 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its D

I WILL MARK BRAINLIST

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

..........

Step-by-step explanation:

Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

What is the approximate area of the triangle below?

Answers

Can you include a picture of the problem theres no information

Answer:

3

Step-by-step explanation:

1+1=2

The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?

Answers

Answer:

$400

Step-by-step explanation:

9%= .09

$36÷.09=$400

Answer:

400

9 percent equals .09

36 divided by ,09 equals 400

400 would be your answer

One liter is approximately 34 ounces. A 2-liter soda bottle can hold how many 12-ounce
cans of soda?
Between 1 and 2
Between 3 and 4
ES
Between 6 and 7
Between 5 and 6

Answers

64 oz / 12 oz = between 5 and 6 cans

Express the ratio below in its simplest form. 3 : 3 1 /2

Answers

Answer:

1/3÷1/2

1/3×2 (reciprocal on dividing)

=2/3

plzz give brainiest

Answer: answer is 2/3

Step-by-step explanation:


I need the missing length help (10 points )

Answers

Answer:

5.38516480713

Step-by-step explanation:

a^2+b^2=c^2

5^2+2^2=c^2

25+4=c^2

c^2=square root of 29

c=5.38516480713

Do You Know How?
In 2-5, estimate. Then, tell if your
estimate is an overestimate or
underestimate.
2. 29 X 688
3. 210 X 733
4. 43 X 108
5. 380 X 690

Answers

Answer:

2. 30 × 700 = 21,000 Over

3. 200 × 700 = 140,000 under

4. 40 × 100 = 4,000 under

5. 400 × 700 = 280,000 over

Select the correct answer from each drop-down menu.

Consider these functions:

For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions.


Choices:
1. x,4x,8x
2. x,4x,8x
3. are, are not

Answers

Answer:

x

x

are

Step-by-step explanation:

For x ≥ 0, the value of f(g(x)) is x,For x ≥ 0, the value of g(f(x)) will be x and functions f and g are inverse functions.Option a from all the choices is corect.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The relation between them is shown as y if dependent and x is the independent variable;

Given function;

f(x) = 16x²

g(x)=(1/4)√x

For x ≥ 0, the value of f(g(x)) is found as;

f(x) = 16x²

[tex]\rm f(g(x)) = 16 (\frac{1}{4} \sqrt x) ^2\\\\ f(g(x)) =\frac{16}{16} x\\\\ f(g(x)) = x[/tex]

For x ≥ 0, the value of g(f(x)) is

g(x)=(1/4)√x

[tex]\rm g(x)=\frac{1}{4}\sqrt x \\\\ g(x ) = \frac{1}{4} \times \sqrt{16 \ x^2}\\\\ g(x) = \frac{4}{4} x \\\\ g(x) = x[/tex]

For x ≥ 0, functions f and g are  inverse functions

Let,

y=F(X)

If,

y= 16x²

x=16y²

y² = x/16

y=(1/4)√x

Hence,For x ≥ 0, the value of f(g(x)),For x ≥ 0, the value of g(f(x)) will be x and x respectively.and For x ≥ 0, functions f and g are inverse functions.

Hence, option a from all the choices is corect.

To learn more about the function refer to the link https://brainly.com/question/12431044.

#SPJ2

I am really stuck on this problem​

Answers

Answer:

1. ∠1 = 60

2. ∠2 = 40

3. ∠3 = 80

4. ∠4 = 80

5. ∠5 = 60

6. ∠6 = 120

7. ∠7 = 100

8. ∠8 = 60

9. ∠9 = 120

10. ∠10 = 100

Step-by-step explanation:

Need help fast plss will give brainliest to who is correct plss help

Answers

Answer:

A) (-3,-2)

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 20x – 2y = 6?

Answers

Answer:

10

Step-by-step explanation:

20x – 2y = 6

y=10x-3

Parallel line have same slope

The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape does the classroom have in all

Answers

Answer: 32

Step-by-step explanation: 45wheeej5t

Answer: 21 1/2

Step-by-step explanation:

12 9/10 + 8 3/5 = 21 1/2

hope this helps!

3. What is the distance between the points (4, 5) and (-3, 5)?
1 units
7 units
10 units
8 units

Answers

Answer:

The actual answer is 7 units.

Step-by-step explanation:

Distance between two bodies=

root under[(x2-x1)^2+(y2-y1)^2]

=root under[(-3-4)^2+(5-5)^2]

= root under (49)

=7 units.

С
Which inequality is true?
8
9
O 510
0.13
8
5
8 5
072

Answers

Answer:

0.72

Step-by-step explanation:

it doesn't exist

Aidan has been offered a job to paint the outside of a barn. If one gallon costs $35 and covers 550 square feet. How much will it cost to paint the barn with one coat?

Answers

Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is [tex]C = \$ 530[/tex]

Step-by-step explanation:

From the question we are told that

   The  cost of one gallon of paint is  [tex]c = \$35[/tex]

    The area the one gallon of paint covers is  [tex]A = 550 \ square\ feet[/tex]

   

Generally from the diagram  the region of the barn which can be painted is mathematically represented as

       [tex]A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )[/tex]

=>    [tex]A = 8336 \ ft^2[/tex]

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       [tex]x = \frac{8336}{550}[/tex]

=>    [tex]x =15 \ gallons[/tex]

Generally the cost of 15 gallons of paint is mathematically represented as

       [tex]C = c * x[/tex]

=>     [tex]C = 15 * 35[/tex]

=>     [tex]C = \$ 530[/tex]

what are the solutions to x^2=16x-28

Answers

Answer:

x=14

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Step-1 :

Multiply the coefficient of the first term by the constant   1 • 28 = 28  

Step-2 :Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -16 .

-28 +   -1  =  -29  

-14 +  -2 =  -16  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -2

x2 - 14x - 2x - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

          x • (x-14)

 Add up the last 2 terms, pulling out common factors :

          2 • (x-14)

Step-5 : Add up the four terms of step 4 :

     (x-2)  •  (x-14)

Answer:

x=14

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