LU Decomposition Method To Solve Linear Equations. Quick, Easy, Credible

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4 жыл бұрын

Solving a system of linear equations through LU DECOMPOSITION OF THE MATRIX
1. LU Decomposition Method is a quick, easy way to solve linear equations
2. It's credible because it's been around since 1847 and has proven useful in many different fields such as aviation, astronomy, and chemistry
LU Decomposition is a quick, easy way to solve linear equations.
This video will show you how to use the LU decomposition method to find solutions of a system of linear equations.
The LU decomposition method is a great way to solve systems of linear equations. It is fast and easy to use, and it always produces a unique solution. In this video, we will show you how to use the LU decomposition method to solve a system of linear equations.
First, we will create a matrix that represents our system of linear equations. This matrix has three rows and three columns. The first row contains the coefficients of the linear equation, the second row contains the constant terms, and the third row contains the right-hand side values of the equation.
Next, we will use the LU decomposition method to solve the system of linear equations. We will start by finding the L matrix. The L matrix is a matrix that has the same number of rows as the original matrix, and it contains the left-hand side values of the equation. We can find the L matrix by solving the first row of the original matrix for x.
Next, we will find the U matrix. The U matrix is a matrix that has the same number of columns as the original matrix, and it contains the right-hand side values of the equation. We can find the U matrix by solving the second row of the original matrix for y.
Finally, we will solve for x and y by using the LU decomposition method. We will start by solving for x in the L matrix. This will give us our first solution to the system of linear equations. We can then solve for y in the U matrix to get our second solution.
The LU decomposition method is a great way to solve systems of linear equations. It is fast and easy to use, and it always produces a unique solution. In this video, we showed you how to use the LU decomposition method to solve a system of linear equations. Thanks for watching!

Пікірлер: 150

@r-vava380 8 ай бұрын

I really like this and I've gained more. Thank you so much for this session!!!

@theetonylevirealitychannel4082 2 жыл бұрын

You are the best LU tutor i have seen😍😍

@danielroman7699 3 жыл бұрын

Thank you so much. This makes more sense that my textbook. Lol

@janardhank1899 3 жыл бұрын

Thank you so much for explaing well .it helped me a lot

@MahaLakshmi-um1hz 3 жыл бұрын

Awesome explanation mam.... Tq so much...❤️

@jephtarhlakuinjeya4679 2 жыл бұрын

what a splendid video thank you, l understood the concept

@syedatif3832 3 жыл бұрын

You are life saver 🔥💯

@yogeshkumarsaini7279 4 жыл бұрын

बहुत दिनों से आपकी क्लास का इंतजार था।। थैंक्स

@cartoonzer 11 ай бұрын

Thank you so much for this lecture! With your help, I passed my numerical analysis exam with a high grade ❤

@Syed_Miraz_Ali 11 ай бұрын

same here 😇

@brinesmithngala1479 3 жыл бұрын

Great explanation Thank you very much

@user-sm6fv6kw7h 9 ай бұрын

Thank you for your...presentation!

@NETHA. Жыл бұрын

Wonderful explaination thank you soo much❤️❤️

@mrinalkumar7910 2 жыл бұрын

Thankyou so so much mam...love u loads .. tomorrow is my paper I think I gained a much confidence

@LearnPythoninPashto 8 ай бұрын

the way you teach is absolutely magic I am learning from Afghanistan as a computer science student great

@muwongeevanspaul9166 2 жыл бұрын

Even before I complete the video, your approach is so cute like your face and voice. Than any other method I have seen, yours stands the best 👍👍👍👍🔥🔥🔥🔥🔥🔥

@ushachougule2186 Жыл бұрын

And can we take unity in the upper triangular matrix as well

@francismagnusson378 3 жыл бұрын

oh i got it now :D thanks so much!

@monish8103 3 жыл бұрын

Thanks mam this video was very helpful.

@yashthirani6849 Жыл бұрын

Why are the diagonals 1 by default for the L matrix?

@g1syedatahniyath728 11 ай бұрын

Because here L is the unit lower triangular matrix Where as U is upper triangular matrix

@sajnasaleem22 8 ай бұрын

The best best best best lecture of lu and qr decomposition watched so far.Darling you saved my life❤

@user-wl9iq7kp1k Ай бұрын

Thank you mam....... I understand that from zero to hero. Your teaching method is very very nice. And ................. Your are also very handsome..

@holyshit922 3 жыл бұрын

If we dont need to exchange rows we can perform Gaussian elimination to get U matrix and we record multipliers in L matrix If we need to exchange rows then In ith iteration we look for element with maximum absolute value in the ith column on diagonal and below diagonal if this element is equal zero we stop otherwise we swap the rows We perform Gaussian elimination on i+1..n,i+1..n submatrix with multipliers is stored in ith column

@dipakpaudel012 3 жыл бұрын

Tq mam i am understanding your concepts

@sabareeshg6229 9 ай бұрын

Thank you mam. I easily understood this problem because your explanation

@gaurieducation9536 4 жыл бұрын

Amazing video

@anandsuralkar2947 6 ай бұрын

Awesome video yes this method is unnecessarily lengthy but GATE2022 this method was particularly asked to solve system of linear equation.

@williamsyeboah4268 3 жыл бұрын

Much appreciated

@nikitashrikhande1182 8 ай бұрын

Thank you mam❤ For this great explanation

@Satya1621 2 жыл бұрын

Nice explanation!

@BhushanMedhe 8 ай бұрын

Thank you so much mam for this lecture ... 🙂

@noone4277 3 жыл бұрын

Is there unities in diagonal of upper triangular matrix?

@akhiltk1410 3 жыл бұрын

very very simple and detailed explanation....thank you so much madam ..

@GaneshInstitute 3 жыл бұрын

If you think our content is good, then plz share it as much as possible and increase our KZfaq family. Thank you

@charitysago1093 3 жыл бұрын

Thank you so much ma❣️

@ihsanktk2583 3 жыл бұрын

Thinks mam you explain its more in a better way

@hkhafiz5415 5 ай бұрын

best video , thanks

@starmusicalacademy Жыл бұрын

Ur way of teaching is amazing

@CryptoDen101 10 ай бұрын

You just saved my life, my lecturer can't explain like this

@mehadihasan967 3 жыл бұрын

Thank you so much❤ madam for this vedio lecture...

@GaneshInstitute 3 жыл бұрын

If you liked our video so much, then do share the channel as much as possible.

@Mathsandphysics1218 3 жыл бұрын

Thanks so much mam.

@tamilolidurai6043 3 жыл бұрын

Very helpful.. Thank you so much, dear :) God bless.

@GaneshInstitute 2 жыл бұрын

If you liked both our teaching and content, then share this channel as much as possible.

@iqbalnadeem4877 3 ай бұрын

Excellent ❤

@sirichandana605 4 жыл бұрын

Thanks u so much ma'am the way you explain is super ma'am please do on a video on single value decomposition ma'am

@GaneshInstitute 4 жыл бұрын

If you liked the video, don't forget to share it with your friends to enhance our enthusiasm.Your cooperation like this motivates us to work harder.

@francisdanful Жыл бұрын

Thanks, a lot. 🎉❤❤❤

@pedapatisaisandeep-gw6ze Жыл бұрын

Thank you it saved my life

@bishalsarkar73 11 ай бұрын

Very nice explained

@erickochako1927 3 жыл бұрын

Thank you

@emnimak1550 2 жыл бұрын

thank u madam u have no idea how much u save my life

@ezeezechiaskalumuna4766 4 жыл бұрын

thank you a lot

@GaneshInstitute 4 жыл бұрын

If you liked the video, don't forget to share it with your friends to enhance our enthusiasm.Your cooperation like this motivates us to work harder.

@abhishekpatelrollno-2nd861 2 жыл бұрын

Thanks 👍 ma'am

@gooseberry_disliker 10 ай бұрын

thank you ma'am

@BenCryptoTalks 3 жыл бұрын

amazing

@KnightPathan 8 ай бұрын

mam dara meherbani kor wadan love you mam and your method is also gopod quetta balochistan pakistan

@slavpapazov8032 Ай бұрын

very good

@Surya-uv3bz 2 жыл бұрын

Why it is 1,1,1 in principal diagonal of L as it is different in U

@anandsuralkar2947 6 ай бұрын

Thats how LU decomposition is done. L is lower triangular matrix with unit diagonals specifically but no such restrictions on U

@daanishhydri Жыл бұрын

thank you maam

@yeshwanthkanchi1052 2 жыл бұрын

thank u mam

@tlotlisangmolateli8136 3 жыл бұрын

believe me you are the best ma'am....

@GaneshInstitute 3 жыл бұрын

If you really like our content and efforts plz do share with you friends, help us to grow to 1 million community. Thank you

@murshaduddinkilledar1363 4 жыл бұрын

Superb presentation and body language but one suggestion is to device the solution in steps and solve it on the board in steps.... don't move steps to top, side by because it creates confusion to students... also writing on the board is not clearly visible.... amazing style is my compliments to you

@GaneshInstitute 4 жыл бұрын

If you liked the video, don't forget to share it with your friends to enhance our enthusiasm.Your cooperation like this motivates us to work harder.

@GopisettiNeelesh Жыл бұрын

Thank you mam 😍_

@ikhlaqmalik8155 3 жыл бұрын

Plx Write the set of linear equation in x y and z format.. YOU HAVE WRITTEN THE SET OF LINEAR EQUATIONS IN X FORMAT THEN WHERE FROM U GET THE VALUES OF X Y AND Z..

@neerumallaaishwaryaneeruma1949 2 жыл бұрын

Tqsm

@shivajigoulikar2803 3 жыл бұрын

Thank u madam

@ushachougule2186 Жыл бұрын

For lower triangular matrix why did u take 1 in the diagonal

@anandsuralkar2947 6 ай бұрын

Thats how LU decomposition is done. L is lower triangular matrix with unit diagonals specifically but no such restrictions on U

@ushachougule2186 6 ай бұрын

Ok thank you 👍

@neeteshkumar3884 8 ай бұрын

what if matrix is not a square matrix, all teachers explain this same example through same concept. And mam please tell how to find L and U matrix separately

@bananamonke630 7 ай бұрын

not valid

@I_am_Abhijeet 7 ай бұрын

why you have taken 1,1,1 as diagonal element for matrix L ..................can't we take L11,L22,L33

@okaforphilip1527 2 ай бұрын

Can this be used on fractions ?

@GaneshInstitute Ай бұрын

Yes

@djadam8150 3 жыл бұрын

Mam you are so cute 😍😍.Also your teaching style is better than other youtubers

@GaneshInstitute 3 жыл бұрын

You liked this video and we felt happy to know this, if you subscribe and share this channel as much as possible, we would love to work harder to make more content like this . Thank you soo much Ganesh institute

@shaikshowkath7818 3 жыл бұрын

Super mam

@itsak4235 3 жыл бұрын

Does crout's method is different from this???

@nidishs3090 3 жыл бұрын

No it's same as Gauss Seidel method.

@michaelkefyalew2703 Жыл бұрын

you just saved my life for tomorrow test.

@GaneshInstitute Жыл бұрын

All the best

@VijayVijay-nq2yf 3 жыл бұрын

I want 4 variables for qn and answer

@aligoohar2844 2 жыл бұрын

you are highly respected for being a teacher. and you are blessed with beauty which is worth watching

@learnablelife8724 Жыл бұрын

maam,why are uh raking 1in lower triangular matrix

@GaneshInstitute Жыл бұрын

In L you always take 1 in diagonals and elements upper to diagonals are zero and below it have certain values which are supposed to be found out.We can do it by using row-addition operations

@francismagnusson378 3 жыл бұрын

she makes it look so easy :c man i hate math

@ashwinvijaymurali8995 3 жыл бұрын

Mam you put the video for LU decomposition method explain in tamil mam

@shoutffgamer4711 2 жыл бұрын

Beautiful pictures mam

@bijeshkumar8977 Жыл бұрын

Did you come from England?

@anoopa5429 2 жыл бұрын

This method is complicated compared to guass elimination and inverse matrix methods

@Aestheticcc-n6t 2 жыл бұрын

Thank you mam. Tomorrow I have exam

@GaneshInstitute 2 жыл бұрын

All the best.

@teachingchampion 7 ай бұрын

what a way to sums that up ... 10/10 for your effort and explanation technique

@ShivamSingh-ue1rp 3 жыл бұрын

Your way of teaching is good but more confusion you can solve it step by step solution.....

@GaneshInstitute 3 жыл бұрын

If you like our content then don't forget to subscribe and share to increase our enthusiasm and to continue watching more videos.

@ShivamSingh-ue1rp 3 жыл бұрын

@@GaneshInstitute yer i am your chanel subscrib because your teaching is very good 😊

@inamullahkhan6709 3 жыл бұрын

Bohet acha

@TedrosTeka Жыл бұрын

i love mama u saved my life

@srinivasaraojuturi9087 3 жыл бұрын

mam, there is mess onboard please do another video on this concept. please

@rosaliecalves501 Жыл бұрын

You're so gorgeous ma'am

@vaibhavgadugale Жыл бұрын

Wow

@jayarajsekhar 3 жыл бұрын

Beautiful explanation like you... Good mam

@shoaibakhtar3582 Жыл бұрын

love you mam

@psNiharikaAtwal Жыл бұрын

Mam qes complete kroo

@prashanthprince5063 2 жыл бұрын

Thank you and you are sooo beautiful mam..😍🤩

@raymonddamoah4204 2 жыл бұрын

I should be paying my school fees to this lady

@MALAVATHGANGADHAR-ck4cv 9 ай бұрын

West u explanation

@sandeeptadaka6059 3 жыл бұрын

thankq mam you taught more easier than my collage sir your teaching is really impressive i recommend every b.tech student must learn this topic its very important thankq you