Find an elementary matrix E such that EA = B.A = 2 1 3-2 4 53 1 4B = 2 1 33 1 4-2 4 5

The Elementary Matrix E is [tex]\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex].

We know that the Matrix

[tex]A = \left[\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right] , B = \left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right][/tex]

[tex]EA = B[/tex]

⇒ [tex]E = B A^{-1}[/tex]

[tex]A^{-1} = \frac{1}{|A|} \times \left[\begin{array}{ccc}A_{11}&A_{12}&A_{13}\\A_{21}&A_{22}&A_{23}\\A_{31}&A_{32}&A_{33}\end{array}\right][/tex]

[tex]|A| = \left|\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right|[/tex]

[tex]= 2 \times4\times4-2\times5\times1 - 1\times(-2)\times4+1\times5\times3+3\times(-2)\times1 - 3\times4\times3\\= 32 -10+8+15-6-36 = 3[/tex]

[tex]A^{-1} = \frac{1}{3} \left[\begin{array}{ccc}11&-1&-7\\23&-1&-16\\-14&1&10\end{array}\right] \\A^{-1} = \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right][/tex]

[tex]\therefore E =\left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right] \times \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right][/tex]

[tex]E = \left[\begin{array}{ccc}\frac{22+23-42}{3}&\frac{2+1-3}{3}&\frac{-14-16+30}{3}\\\frac{33+23-56}{3}&\frac{-3-1+4}{3}&\frac{-21-16+41}{3}\\\frac{-22+92-70}{3}&\frac{2-4+5}{3}&\frac{14-64+50}{3}\end{array}\right][/tex]

[tex]E = \left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex]

To learn more about matrices, visit: brainly.com/question/11367104

#SPJ4

8.8C
What value of x makes this equation true?
12x - 15 = 6 - 3x

What is the distance between points A (3,-5) and B(-8,2) on the coordinate plane?

Karolyn puts 4,500 into a life insurance policy that pays 7.5% annual interest. If no additional investment is made into the policy how much accumulated interest should Karolyn expect at the end of 10 years?

A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possible for the last side of the triangle?

The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM

PLEASE HELP I WILL MARK YOU BAINLIEST AND SHOW YOUR WORK PLEASE



A school is raising money to build a new auditorium! It costs $6,500 to hire a worker to put in new floors in the auditorium. The other information about the cost of the project is below:

The teachers have already raised $500.

There are twelve teachers trying to help the school raise money and each teacher raises the same amount of money.

The teachers organize a car wash and earn $10 for each car they wash.


How many cars must each teacher wash to raise enough money to complete the new auditorium?

which are the correct answer? need help

In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.

How can I Solve this problem Solve. for g.
18 = 3g

g

Part B Point S is located at 5/4 on the number line. A student claims that the location of point S is to the right of the location of point P on the number line. *Explain whether the students claim is correct or in correct. *Write an equality that describes the relationship between the value of point P and the value of point S.

Which expression is equivalent to (3x2+3x−3)−(6x2−4x−2)?

A
−3x2+7x−1

B
−3x2−x−5

C
−3x2+7x−5

D
−3x2−x−1

If u have 2 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on your game and then went to the playstation app and bought the same games that you just had got from game stop, how many games would have now?

Alternate interior angles are always congruent. TRUE OR FALSE

What are the roots of this equation x^2-2x+3=0

Which compound inequality is represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3
4.
5
-2 -25 X < 4
X<-2 or x 24
XS-2 or x> 4


Side note: I accidentally clicked that answer I don’t know if it’s right or not

15 chocolate were distributed between raju and sanju in the ratio 2:3 . How many chocolates did raju receive?​

No links, downloads, or anything of the sort. I will give brainliest!!!
What is 27 1/2% as a fraction in simplest form?
A. 11/55

B. 11/20

C. 55/100

D. 11/40

A printer makes more than 3 copies of a book every hour. How many books can the printer make in 4 hours?

what is the value of d?

2) If there was a discount of 20%, what is the final deconstructed
percent? *
A.0.8%
B.120%
C.20%
D.80%

The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday

The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat

Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly

******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each

child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,

a, and the number of children, c, and solve to find out how many of each attended the event.



A) Create an equation to represent the breakdown of people attending this event (children and adults).

B) Create an equation to model the number of forks used at this event.

C) Solve the system you created and write down the number of Children and Adults that attended.

Pls helpppppp



Ann’s mom is putting up border on the walls of Ann’s room. Her room is 14 feet long and 8 feet wide. How much border will be needed to go all the way around the room?

Please help, i dont understand this

What is the slope, m, of the line through (-9, -17) and (-9, 12)?

Express the slope as a fraction in lowest terms.

If the slope is undefined, enter undefined into the text box.

m =

Bounty paper towels cost $8.49 for 8 rolls. Brawny paper towels cost $13.99 for 12 rolls. Which is the better buy?

135 is 90% of what number

These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth. erimeter = 20m Area = 19.6m ^ 2 rimeter = 34m Area=[ ? ] m^ 2

PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ​
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!