Select the correct answer.
Which statement about inverse matrices is true?
O A.
An inverse matrix is always a square matrix.
O B.
An inverse matrix a is never a square matrix.
The determinant of an inverse matrix is always zero.
O D.
There always exists a square matrix A-1 for which AA-1 = /.
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Answers

Answer 1

Options A and D are true for the inverse matrices.

We need to determine which statement about inverse matrices is true.

What is an inverse matrix?

The inverse of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is [tex]A^{-1}[/tex], and  [tex]A.A^{-1}=I[/tex] A = I, where I is the identity matrix. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.

The matrix should have a non-zero determinant for getting the inverse of it.

An inverse matrix should be a square matrix.

The inverse of the matrix can be calculated by two approaches:

1) Adjoint method

2) Row/Column elementary method

Therefore, options A and D are true for the inverse matrices.

To learn more about the inverse matrices visit:

https://brainly.com/question/15118736.

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Related Questions

American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs score in American League and National League stadiums for the first half of the 2001 season. **American:** 11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3 **National:** 14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9 (a) Create two box plots to display this data and comment on what you see. (b) Estimate the mean number of runs scored in American League games with a 95% CI. What concerns do you have about making a similar CI for National League games

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

**American:**

11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3

**National:**

14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9

Kindly view attached picture for boxplot :

Using the relation :

Mean ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

National league :

Mean = 9.58125

Standard deviation = 1.5

9.58125 - 1.96 * 1.5/4 = 8.84625

9.58125 + 1.96 * 1.5/4 = 10.31625

(8.84625 ; 10.31625)

American League :

Mean = 9.807

Standard deviation = 0.805

9.807 - 1.96 * 0.805/sqrt(14)= 9.3853152

9.807 + 1.96 * 0.805/sqrt(14) = 10.228684

(8.84625 ; 10.31625)

ALGEBRAIC EXPRESSION:
1.Subtract q from p
2.Multiply p by q
3.Divide 20 by p
4.8 times p
5.The sum of p and q
6.Add 15 to p
7.Subtract 25 from q
(pls help me am just new to this lesson)

Answers

Step-by-step explanation:

1. p-q

2. q×p

3.p÷20

4.8*p (8p)

5.p+q

6.p+15

7.q-25

please help asap !!!!!! Which equation has one solution for x?

Answers

Question number b is the correct one

Answer:

I think C

Step-by-step explanation:

A has no solution

B has no X

D has infinite solutions

If lines r and s are parallel, what would be the measurement of angle 6 if angle 1 was 2x+4 and angle 2 was 6x+8?

Answers

Answer: 134

Step-by-step explanation:

Angle 1 and 2 are supplementary and Angle 2 is congruent to Angle 6

Thus, first solve for x

8x+12=180

x = 21

Then solve for angle 2 which is congruent to angle 6

6(21) + 8 = 134

Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x8 + 6x7 - 5)​

Answers

Answer:

[tex]2x^8-6x^7+11x^6-2x+10[/tex]

Step-by-step explanation:

To find: [tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)[/tex]

Solution:

Like terms refer to terms with same variables and same powers.

Two like terms can be added or subtracted.

Consider the following expression:

[tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10[/tex]

(Here, like terms are added or subtracted)

The giraffes roam 612 acres of grasslands and the tigers roam 346 few acres. How many acres do they roam combined?

Answers

Answer:

They roam 958 acres combined.

Step-by-step explanation:

612 + 346

= 958

4. Find the following function values.


(3)/ (3)

( (2))

f(f'(-4))

g(x+2)​

Answers

Answer:

1. 9

2.2

3.0

4.gx +2g

Step-by-step explanation:

5x10 but showing your work

Answers

Answer: 50

Step-by-step explanation: 5 times 10 means that there is going to be 5 10’s added together, so 10+10 = 20 + 10 + 10 = 40 + 10 = 50 so 5 times 10 is 50

What is the period of 1-sin 2πx/3? Please explain.

Answers

Answer:

Notice, period of function sin(kx) is 2π/k where k is constant (coefficient of x ) since coefficient of x in sin(2πx/3) is k=2π/3  hence the period of sin(2πx/3) is 2π/(2π/3)=3

Step-by-step explanation:

Solve the inequality

Answers

the answer would be

-3 ≤ x ≤ 5

¿cuál. es el. valor. nutricional total de la naranja ?​

Answers

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:

City A and B 2,000 miles Coty C and D 4100 miles how many inches are they​

Answers

Answer:

city a and b 1.2672e+8

city c and d 2.5978e+8

Step-by-step explanation

what they said hope that u get it right

Help with Trig and special right triangles (PIC INCLUDED)

Answers

Answer:

sin a = cos C

sin C = AB/AC

tan a = BC/AB

GIVING BRAINLIST. 6 dimes if what percent of a dollar

Answers

Answer:

60%

Step-by-step explanation:

6 dimes is 10x6 and a dollar would have 10 dimes so 60%

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

2

Step-by-step explanation:

8 ⋅ (1/2)^2 = 8 * (1/2) * (1/2)

=4/2

=2

please help i put pic of question

Answers

Answer: [ -8, -5] or [1, 4]

Step-by-step explanation:

Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!

Find the slope of BG, and HL using the coordinates; B(-4, 3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.​

Answers

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

BG = [tex]\frac{4-3}{-2--4}[/tex] = 0.5

HL = [tex]\frac{-3--2}{-1-1}[/tex] = 0.5

This mean that the lines are parallel ..

4 ^-3 rewrite without an exponent

Answers

Answer:

(1/4)³

Step-by-step explanation:

Hope it helps you

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Negative exponents means you bring the base to the denominator, which becomes a fraction.

[tex]4^{-3} \\=\frac{1}{4^{3}}[/tex]

The question wants us to write without an exponent.

The [tex]4^{3} = 4 * 4* 4=64[/tex]

So, it becomes:

[tex]\frac{1}{64}[/tex]

Ellie shares 24 cupcakes with x friends, how many cupcakes does each friend get?

Answers

Answer:

24/ 1 + x

you would have to divide the cupcakes upon the friends.

WILL MARK BRAINLYIST

Answers

Answer:

12

Step-by-step explanation:

You solve for x in 2 methods 7x+10=94 Or 4x-6=42

7x=84

x=12

A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 4 centimeters.

What is the surface area of the prism?

____cm2

a) 96

b) 104

c) 136​

Answers

Answer:

I believe the answer is C. 136 cm2

I think the answer is . C. 136 cm

Need the answer been stuck on this

Answers

Answer:

19 cm³

Step-by-step explanation:

The figure cam be decomposed into two cuboid.

✔️Dimension of cuboid 1:

L = 2 cm

W = 1 cm

H = 8 - 3 = 5 cm

Volume = L * W * H

Volume = 2*1*5 = 10 cm³

✔️Dimension of cuboid 2:

L = 3 cm

W = 1 cm

H = 3 cm

Volume = L*W*H = 3*1*3

Volume = 9 cm³

✅Volume of the irregular figure = 10 + 9 = 19 cm³

A circle that has a center at the origin and a diameter of 12

Answers

Answer:

A≈113.1

Step-by-step explanation:

A=πr2

A=π·62

A≈113.09734

A=113.1 is your answer have a great rest of your day :)

please could i have help with this i get 336m and its not one of the choices

Answers

It’s 30m,
18msq/m + 4m x 3
= 18 m + 12m
= 30 m


There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, you picked a blue marble. Without putting the blue
marble back, what is the probability of picking a green marble?

Answers

The answer of picking a green marble is 2/14 which is 1/7.

Answer:

1/3

Step-by-step explanation:

Jose purchased 105 slices of pizza to sell at his school's fundraiser, yet at the end of the day, he had only sold 58. What is his percent of error? PLS HELP

Answers

Answer:

awww well look at that my best friend is on brainly, i need help too <3

Step-by-step explanation:

A bag of sugar contains 420g. A
special offer packet contains an extra
15%. Work out how much extra sugar
is in the special offer packet.

Answers

Answer:

63g extra

Step-by-step explanation:

420 x 0.15 =63 g

plz plz plz, HELP!!!! I will give u brainlylist

Answers

Answer:

69

Step-by-step explanation:

thats the answer now give me brainliest NOW:)

Find the area of this figure around your answer to the nearest 100. use 3.14 to approximate 3.14 as pi

Answers

Answer:

Area = 49.12 ft²

Step-by-step explanation:

The area of the figure = area of triangle + area of half of a circle

= ½*bh + ½(πr²)

b = 6 ft

h = 8 ft

r = ½ of 8 ft = 4 ft

π = 3.14

Plug in the values

Area of the figure = ½*6*8 + ½(3.14*4²)

Area = 24 + 25.12

Area = 49.12 ft²

Answer:

49.12

Step-by-step explanation:

The population of a city has been increasing by 2% annually. In 2000, the population was 315,000. Predict the population of the city in 2020. Round your answer to the nearest thousand.​

Answers

Answer:

In 2020 there will be 468,073 people.

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 2% = 0.02

Population 2,000= 315,000

Number of periods (n)= 20 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1+g)^n

FV= 315,000*(1.02^20)

FV= 468,073

In 2020 there will be 468,073 people.

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