Which of the following statements are true about inverse matrices?

All square matrices have inverses.

If A and B are inverse matrices, then A and B must be square matrices.

The determinant of a singular matrix is equal to zero.

If A and B are inverse matrices, then A + B = I.

If A and B are inverse matrices, then det(A)xde(B)=0

Any zero matrix does not have an inverse.

If B = A–1, then A = B–1.​

Answers

Answer 1

B = A–1, then A = B–1.​ This statement is true. The inverse of a matrix is unique, so if B is the inverse of A, then A must be the inverse of B.

what is matrix ?

An arrangement of integers in both columns and rows is known as a matrix. learns about matrices' components and dimensions and first presents them. A matrix is a rectangular grid with integers arranged in rows and columns.

The statements that are true about inverse matrices are:

Not all square matrices have inverses. A square matrix only has an inverse if its determinant is not equal to zero. If the determinant of a square matrix is zero, it is called a singular matrix and does not have an inverse.

If A and B are inverse matrices, then A and B must be square matrices. This is because only square matrices can have inverses.

The determinant of a singular matrix is equal to zero. This is because the determinant of a matrix is related to the linear independence of its columns or rows. A singular matrix has linearly dependent columns or rows, which means its determinant is zero.

If A and B are inverse matrices, then A + B = I. This is not necessarily true. In general, the sum of two inverse matrices is not necessarily the identity matrix.

If A and B are inverse matrices, then det(A) x det(B) = 1. This statement is almost true, but the correct statement is det(A) x det(B) = det(AB) = 1.

Any zero matrix does not have an inverse. This is because the determinant of a zero matrix is zero, and therefore it is singular and does not have an inverse.

If B = A–1, then A = B–1.​ This statement is true. The inverse of a matrix is unique, so if B is the inverse of A, then A must be the inverse of B.

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Answer 2

Answer: B,C,E,F,G

Step-by-step explanation:


Related Questions

Which type of function is shown in the table below.

Answers

Answer:

it is a not a function

Step-by-step explanation:

if you times 51 that's a hundred

find the missing side length

Answers

Answer:

a

Step-by-step explanation:

I think A.21 because if you divide 40/24 it gives you 1.66666667 and if you divide 35 by that you get 21

Subject: Maths

Level: High-school

Topic: transforming graphs

Points: 90

PLEASE HELP!

(i have the answer for part i, i just need hel with ii and iii)

Answers

Answer:

(-1, -5), (-1/2, -3), (-1, -9)

Step-by-step explanation:

The function in vertex form is:

f (x) = a(x - h)² + k, where (h, k) is the vertexf(x) = (x - 1)² - 3

i) y = f(x) - 2 = (x - 1)² - 3 - 2 = (x - 1)² - 5 ⇒ h = 1, k = -5

Minimum point:

(- 1, -5)

ii) y = f(2x) = (2x - 1)² - 3 = 4(x - 1/2)² - 3 ⇒ h = 1/2, k = -3

Minimum point:

(-1/2, -3)

iii) y = 3f(x) = 3((x - 1)² - 3) = 3(x - 1)² - 9 ⇒ h = 1, k = -9

Minimum point:

(-1, -9)

at the drive in it cost 5 dollars per vehicle plus 2 dollars per person in the vehicle construct an equations from this information

Answers

Answer:

5v+2d

Step-by-step explanation:

Hope I helped

if you complete it and it's correct I give you (brainlist)​help

Answers

Answer:

1. 9

2. 122cm squared

3. 189m

4. 30

5. b

Step-by-step explanation:

1. 27,36,45,54,63,72,81,90,99

2. 12x6=72 10x5=50 50+72=122

3. 21x9=189

4. 5x12=60 60/2=30

5  b because 150 divided by 4 doesn't give you a whole number.

1a simplify 6x × 3y​

Answers

18xy
You need to do 6*3=18
Then x*y= xy

Solve the system.... 2y+8x+58 and y-5x=11

Answers

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

n: (2x4 + 6x² + 5x° - 45)(x + 3)

Answers

Answer:

54565

Step-by-step explanation:

234

The divisor times the quotient plus the remainder will give you the dividend.

True or False

Answers

Answer: True


Explain:
Trueeeeeeeeeeeeeeeeeeeeeeeeee

Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27

Answers


8x + 3y = 45 * -2
2x + 3y = 27 * 8

-16x - 6y = 90
16x + 24y = 216

24y = 216
y = 216/24
y = 9


8x + 3y = 45
8x + 3(9) = 45

8x + 27 = 45
8x = 45 - 27
8x = 18
x = 18/8
x = 2.25


x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

What are linear equations?

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Find the slope of the line that passes through the points (1,-4) and (3,-1).

Answers

the answer is right here

Answer:

(2,3)

Step-by-step explanation:

you go up 3 and forward 2 so it would be positive positive.

round off 599 to 2 significant figure ​

Answers

Answer:
600

Explanation:
The first 9 has to be rounded up to a 0 and the 5 becomes a 6

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

I’m sorry if I keep asking question im not smart but what the answer to both of them thank you

Answers

The first one is 0 and the second one is 44

A youth organization decided to go to the movies,
Adult tickets cost $7.00 each, and youth tickets cost $5.00 each. If four
adults purchased tickets, and the total bill cost of the outing was $118.00,
how many youth attended went to the movies?

Answers

Answer:

7x + 5y = C

Step-by-step explanation:

Answer:

18 children

Step-by-step explanation:

4x$7=$28

$118-$28=90

90 divided by $5

18

Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 360 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
50 points to who ever answer it corectly

Answers

Answer:

15 cm on the map

Step-by-step explanation:

360/120=3

5*3=15

hope this helps :)

What is the missing lenght of X and Y?

Answers

Answer:

D. x = 2, y = 2

Evaluate each expression If X equals six 4(x-5)

Answers

Answer:

4

Step-by-step explanation:

Let us plug x in to the equation given that it equals 6.

4(6-5)=

4*1=

4

Hope this helps! :)

Please help. I’ll give brainliest

Answers

Answer:116.886

Step-by-step explanation:multiply all the sides then devide by 1/2

Answer:

15.312

Step-by-step explanation:

need help plz help me

Answers

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

pls dont say random stuff to get points

Answers

Answer:

C) 3 1/4

Step-by-step explanation:

will make brainliest with correct answer

Answers

Answer:

10

Step-by-step explanation:

8² = 64

6² = 36

64 + 36 = 100

√100 = 10

The weight of a baby dog on day one is 5 kilograms. Every day, the dog grows an additional 0.1 kilograms. How heavy the dog is after 10 days?​

Answers

i honestly think the answer is 6 pounds

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The weight of the dog after 10 days is 5.9 kg.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Weight of the baby on day one = 5 kg

This can be written as,

1 day = 5 kg

The dog grows 0.1 kg each day.

This means,

On the 2nd day, we get,

2 days = 5 + 0.1

2 days = 5.1 kg

The expression for the weight of the dog on n days can be written as,

n days = 5 + (n -1) x 0.1 _____(1)

Now,

After 10 days we get,

n = 10

From (1) we get,

10 days = 5 + (10 - 1) x 0.1

10 days = 5 + 9 x 0.1

10 days = 5 + 0.9

10 days = 5.9 kg

Thus,

The weight of the dog after 10 days is 5.9 kg.

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The ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks. What is the ratio of trucks to cars? 3:10 3:7 7:3 7:10

Answers

Answer: 7:3

Step-by-step explanation:

From the question, we are given the information that the ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks.

The ratio of trucks to cars will simply be the reverse of the ratio given. This will be: = 7:3

Answer:

7:3

Step-by-step explanation:

it says what is the ratio of truck to cars so how many trucks are there? 7 trucks . and how many cars are there? 3 cars so it is 7:3 because there are 7 trucks and 3 cars so you put both of them together there is your answer. Ratio's are very easy.

what times 60 equals 105

Answers

60 x 1.75 = 105
( you divide 105/60 to get 1.75)

Answer:

1.75

Step-by-step explanation:

To do this you would have to do

105/60=1.75

so that would be the answer

How big is it? I need to know like fr

Answers

Answer:

10 in

Step-by-step explanation:

Answer:

i got a 6 inch it ain't that small

687.68 divided by 0.7

Answers

Answer:

784.14

Step-by-step explanation:

Answer:

982.4

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

hello My name es Liliana y arigato bye​

Answers

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.

Answers

Ndnsnkskaoaoamdmsksakaopssppskdkxm

Determine the intercepts of the line x-intercept

Answers

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

What is the value of ?
86°
84°
?
360
Helpppo !

Answers

All angles in a triangle measures 180 degrees

Add all the angles in triangle 2

84 + 36 = 120

The angle that is divided between triangle 1 and 2 measures 90 degrees so we are gonna add it to the total of triangle 2

120 + 90 = 210

Because no angles in a triangle measures 210 we are gonna subtract 180 from .

210 - 180 = 30

The missing angle in the second triangle is;

180 - 120 = 60 degrees

The total we got after subtracting 180 from 210 is the missing angle for the divided side of triangle 1.

Now that we have 2 angles we can now find “?”

To find “?” we are gonna add the two angles we have and subtract it from 180.

86 + 30 = 116

180 - 116 = 64

Therefore “?” is equal to 64 degrees.
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