What is identity matrix with example.​

Answers

Answer 1

Answer:

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix

Step-by-step explanation:

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Answer 2

Answer:

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix.

Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix. It is represented as In or just by I, where n represents the size of the square matrix. Identity Matrix is denoted with the letter “In×n”, where n×n represents the order of the matrix.

One of the important properties of identity matrix is: A×In×n = A, where A is any square matrix of order n×n.

Hope this helped


Related Questions

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

Express q/4p−q/p as a single fraction

Answers

Answer: -3q/4p

I hope this helps

The fraction q/4p−q/p as a single fraction is −3q/4p.

We are given that;

The fraction= q/4p−q/p

Now,

A fraction represents a part of a number or any number of equal parts.

To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:

q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p

Now we can subtract the fractions by subtracting the numerators and keeping the denominator:

q/4p−4q/4p = (q−4q)/4p = −3q/4p

Therefore, by the fraction answer will be −3q/4p.

Learn more about fraction;

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PLLLLLLLLLLEEEEEEEZZZZZZZZZZZZzZZZZzZzzzzZZZzZZ HHHHHHHEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPP ASAP ASAP

Answers

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

WALLAHI HELP ME PLEASE WALLAHI I BEG

Answers

Answer:

x+2 y-1

Step-by-step explanation:

this would be moving 2 over on x and subtracting down one on the y and a shrink

Please help ASAP
Find the slope of the line graphed below.

Answers

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

3/4 would be the answer :))

please help me i really need help please

Answers

Answer:

104

Step-by-step explanation:

Hey There!

So essentially what this problem is asking us to do is solve for the missing angle in a triangle

Remember all of the angles in a triangle will add up to 180

so to find the missing angle we subtract the given angles (38 and 38) from 180

180-38-38=104

so we can conclude that angle A equals 104

Hope this helps!

Answer:

104 degrees

Step-by-step explanation:

Hope this helps!

Have a great day!

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.

Answers

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

what is the slope of the line? (khan academy) please help

Answers

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

Line segment ON is perpendicular to line segment ML, and PN = 10.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.

What is the area of triangle MOL?

200 square units
250 square units
300 square units
500 square units

i think its c 300

Answers

Answer:

C. 300 square units

Step-by-step explanation:

Answer:

it´s c edg 2021

Step-by-step explanation:

Y=3/4x-2 for slope plz heeeeeeeeeeeeeeeeeelp

Answers

Answer:

m = 3/4

Step-by-step explanation:

That's the correct answer for you :)

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8

If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).

Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.

Answers

Answer:

a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385

The point estimate for the mean used is the sample mean

b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N

c. The point estimate of the population variance is approximately 2.8577

The point estimate for the population standard deviation is approximately 1.6905

d. The standard error of the mean is approximately 0.3315

e. The point estimate of a proportion of the connectors are;

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

Step-by-step explanation:

The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;

Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;

[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]

[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6

n = The sample size = 26

Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385

The point estimate for the mean is approximately 75.7385

The sample mean was used as the point estimate for the mean because it is simple and representative of the sample

b. The weakest 50% of the connectors are;

72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3

The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex]  = 966.2

The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N

c. The estimate of the population variance is the sample variance, given as follows;

[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]

Where;

[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415

Therefore;

[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]

The point estimate of the population variance, s², is 2.8577

The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;

s = √s² = √2.8577 ≈ 1.6905

The point estimate for the population standard deviation ≈ 1.6905

d. The standard error of the mean is given as follows;

[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]

Therefore, we have;

[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315

The standard error indicates the likely hood of the difference between the sample mean and the population mean

e. The point estimate of a proportion of the connectors are;

(Number of sample with a given pull-force value)/(Sample size (26))

Therefore, using Microsoft Excel, we have

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

How many groups of of 5/6 are in 1

Answers

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

What is the equation for the lien of symmetry in the figure

Answers

Answer:

JUst find the middle and fold it in half

ain't no equations needed.

Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94

Answers

The amount of money in the account at the end of the period would be $1345.58.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.

We can write the compound interest as -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 480(1 + 0.15/4)^(4 x 1)

A = 480 + 865.58

A = 1345.58

Therefore, the amount of money in the account at the end of the period would be $1345.58.

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The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

What is the answer? Plz help me

Answers

Answer:

27y + 6r

Step-by-step explanation:

use the distributive property

3 * 9y = 27y

3 * 2r = 6r

27y + 6r

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Suppose that the relation G is defined as follows.
G={(7, d), (1, a), (8,8), (d, 0);
Give the domain and range of G.
Write your answers using set notation.
domain =
0,0....
Х
range

Answers

Answer:

[tex]Domain = \{7,1,8,d\}[/tex]

[tex]Range = \{d,a,8,0\}[/tex]

Step-by-step explanation:

Given

[tex]G=\{(7, d), (1, a), (8,8), (d, 0)\}[/tex]

Required

The domain and the range

A function represented as:

[tex]Function = \{(x_1,y_1),(x_2,y_2)......(x_n,y_n)\}[/tex]

Where:

[tex]Domain=x_1,x_2,....,x_n[/tex]

[tex]Range=y_1,y_2,....,y_n[/tex]

So:

[tex]G=\{(7, d), (1, a), (8,8), (d, 0)\}[/tex]

[tex]Domain = \{7,1,8,d\}[/tex]

[tex]Range = \{d,a,8,0\}[/tex]

the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?​

Answers

Answer:

y=x-1

Step-by-step explanation:

Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36

Answers

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

7 9 4
-2 4 -3
3 10 0
Inverse of this

Answers

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

A thief steals an ATM card and must randomly guess the correct six digit passcode from a five key keypad repetition of digits is allowed what is the probability of a correct guess on the first try

Answers

Answer: 1%

Explanation: sorry if I’m wrong.

Picture thanks a lot

Answers

2.8 is the correct answer :)

My floor rug is 1/3 yard wide and 8/3 yards long. How many square yards of floor does the rug cover?

Answers

Answer:

the answer us 8/9

1/3 times 8/3= 8/9

Answer:

Step-by-step explanation:

we have 2 area rugs, and each has a length of 4 yards

Rug 1 has a area of 16 square yards, meaning that the width is also 4 yard(L*w=16, where Length=4)

Rug 2 has a Length of L=4 but the area is just 12 square yards, so here we have the width of 3 yards (12/4=3)

the rug number 2 will fit in tucker's bedroom

a copy machine prints 10 copies per 1/4 at what rate in copies per minute does the copy machine print?​

Answers

The copy machine will print 4 copies per minute

Open Response Mrs. James buys 5 hat and
glove sets for charity. She has coupons for
$1.50 off the regular price of each set. After
using the coupons, the total cost is $48.75.
Determine the regular price of a hat and
glove set.
Cost ($)
Item
Hat and glove set
р
Scarf
9.99​

Answers

Answer:

$8.26

Step-by-step explanation:

$48.75= Total

$1.50= Coupon discount

5= Number of Sets bought by Mrs. James

*$48.75-($1.50*5)= $41.28*

41.28= Total after Coupon discount is removed

5= Number of Sets bought by Mrs. James

$41.28/5= $8.256

Round answer to show dollar value

Final Answer

$8.26

In AMNO, the measure of 20=90°, MN = 99 feet, and OM = 52 feet. Find the
measure of M to the nearest degree.

Answers

Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation  = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

F(x,y)=-2x^2-2xy-2y^2+35x+42y-158

Answers

Answer:

x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy

Step-by-step explanation:

ihope makaktulong

if wrong correct me

MULTIPLE CHOICE PLS ANSWER THANKS

Answers

Answer:

I think answer is B

B.10x+150=180

if the sides of a triangle are 3x, x-4, and x+2, what is the perimeter of the triangle in terms of x?

Answers

Answer:

P = 5x - 2

Step-by-step explanation:

Givens

P=s1 + s2 + s3

s1 = 3xs2 = x - 4s3 = x + 2

Solution

P = 3x + x - 4 + x + 2P = 5x - 2

Answer:

Step-by-step explanation:

The perimeter is just the sum of all side lengths so

P=3x+(x-4)+(x+2)

P=3x+x-4+x+2

P=5x-2

what is the measure of arc EDC?

Answers

Answer:

139°

Step-by-step explanation:

FG must equal 16. We have to assum DG is a straight line.

2x+90+74+82+16=360

2x=98

x=49 (DAC and CAB)

90+49=139

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