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

Ganesh Institute
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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!

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29 сен 2024

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Комментарии : 152   
@danielroman7699
@danielroman7699 3 года назад
Thank you so much. This makes more sense that my textbook. Lol
@MuhammadUmairShaykh
@MuhammadUmairShaykh 7 месяцев назад
Extremely lengthy
@yashthirani6849
@yashthirani6849 Год назад
Why are the diagonals 1 by default for the L matrix?
@g1syedatahniyath728
@g1syedatahniyath728 Год назад
Because here L is the unit lower triangular matrix Where as U is upper triangular matrix
@theetonylevirealitychannel4082
@theetonylevirealitychannel4082 2 года назад
You are the best LU tutor i have seen😍😍
@raymonddamoah4204
@raymonddamoah4204 2 года назад
I should be paying my school fees to this lady
@Surya-uv3bz
@Surya-uv3bz 2 года назад
Why it is 1,1,1 in principal diagonal of L as it is different in U
@anandsuralkar2947
@anandsuralkar2947 8 месяцев назад
Thats how LU decomposition is done. L is lower triangular matrix with unit diagonals specifically but no such restrictions on U
@abhishek-cb2ky
@abhishek-cb2ky 2 года назад
man you are so beautiful 😍😍
@I_am_Abhijeet
@I_am_Abhijeet 9 месяцев назад
why you have taken 1,1,1 as diagonal element for matrix L ..................can't we take L11,L22,L33
@ushachougule2186
@ushachougule2186 Год назад
For lower triangular matrix why did u take 1 in the diagonal
@anandsuralkar2947
@anandsuralkar2947 8 месяцев назад
Thats how LU decomposition is done. L is lower triangular matrix with unit diagonals specifically but no such restrictions on U
@ushachougule2186
@ushachougule2186 7 месяцев назад
Ok thank you 👍
@holyshit922
@holyshit922 3 года назад
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
@GopisettiNeelesh
@GopisettiNeelesh Год назад
Thank you mam 😍_
@shoaibakhtar3582
@shoaibakhtar3582 Год назад
love you mam
@KnightPathan
@KnightPathan 9 месяцев назад
mam dara meherbani kor wadan love you mam and your method is also gopod quetta balochistan pakistan
@syedatif3832
@syedatif3832 3 года назад
You are life saver 🔥💯
@cartoonzer
@cartoonzer Год назад
Thank you so much for this lecture! With your help, I passed my numerical analysis exam with a high grade ❤
@Syed_Miraz_Ali
@Syed_Miraz_Ali Год назад
same here 😇
@sajnasaleem22
@sajnasaleem22 10 месяцев назад
The best best best best lecture of lu and qr decomposition watched so far.Darling you saved my life❤
@nomanawan1817
@nomanawan1817 Год назад
😂😃😂🤣
@neeteshkumar3884
@neeteshkumar3884 10 месяцев назад
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
@bananamonke630 9 месяцев назад
not valid
@prashanthprince5063
@prashanthprince5063 2 года назад
Thank you and you are sooo beautiful mam..😍🤩
@Shortswithyash724
@Shortswithyash724 5 месяцев назад
Agar aap hindi me bolte to jyada views hote❤
@Satya1621
@Satya1621 2 года назад
Nice explanation!
@sirichandana605
@sirichandana605 4 года назад
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
@GaneshInstitute 4 года назад
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.
@BhushanMedhe
@BhushanMedhe 9 месяцев назад
Thank you so much mam for this lecture ... 🙂
@emnimak1550
@emnimak1550 2 года назад
thank u madam u have no idea how much u save my life
@ihsanktk2583
@ihsanktk2583 3 года назад
Thinks mam you explain its more in a better way
@ushachougule2186
@ushachougule2186 Год назад
And can we take unity in the upper triangular matrix as well
@bijeshkumar8977
@bijeshkumar8977 Год назад
Did you come from England?
@djadam8150
@djadam8150 3 года назад
Mam you are so cute 😍😍.Also your teaching style is better than other youtubers
@GaneshInstitute
@GaneshInstitute 3 года назад
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
@Sekashifahmad
@Sekashifahmad 3 месяца назад
Thank you mam....... I understand that from zero to hero. Your teaching method is very very nice. And ................. Your are also very handsome..
@yogeshkumarsaini7279
@yogeshkumarsaini7279 4 года назад
बहुत दिनों से आपकी क्लास का इंतजार था।। थैंक्स
@francismagnusson378
@francismagnusson378 3 года назад
she makes it look so easy :c man i hate math
@mrtpeiris
@mrtpeiris Месяц назад
Thank you!!☺☺
@Lalitkumar-vh5vu
@Lalitkumar-vh5vu 2 месяца назад
Hind bol lo maharani
@rjhgworrioar9753
@rjhgworrioar9753 2 года назад
Co efficient = coffee shit 😂😂
@r-vava380
@r-vava380 10 месяцев назад
I really like this and I've gained more. Thank you so much for this session!!!
@hansaltamrakar6544
@hansaltamrakar6544 Год назад
Ganpati bappa morya 🪷🪷
@hansaltamrakar6544
@hansaltamrakar6544 9 месяцев назад
After passing my Ct-1 Again I came Here to pass. My end sem after 3 month😂😂😂
@learnablelife8724
@learnablelife8724 Год назад
maam plz,repky tomorrow is my exam
@TedrosTeka
@TedrosTeka Год назад
i love mama u saved my life
@MALAVATHGANGADHAR-ck4cv
@MALAVATHGANGADHAR-ck4cv 11 месяцев назад
West u explanation
@slavpapazov8032
@slavpapazov8032 3 месяца назад
very good
@Hhhhhhhhhhhhooooo
@Hhhhhhhhhhhhooooo 2 года назад
Didi you are so cute 💕
@neerumallaaishwaryaneeruma1949
@neerumallaaishwaryaneeruma1949 2 года назад
Tqsm
@monish8103
@monish8103 4 года назад
Thanks mam this video was very helpful.
@anandsuralkar2947
@anandsuralkar2947 8 месяцев назад
Awesome video yes this method is unnecessarily lengthy but GATE2022 this method was particularly asked to solve system of linear equation.
@learnablelife8724
@learnablelife8724 Год назад
maam,why are uh raking 1in lower triangular matrix
@GaneshInstitute
@GaneshInstitute Год назад
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
@psNiharikaAtwal
@psNiharikaAtwal Год назад
Mam qes complete kroo
@khanpathan8978
@khanpathan8978 2 года назад
Voice is very low
@inamullahkhan6709
@inamullahkhan6709 3 года назад
Bohet acha
@callmecm32
@callmecm32 11 месяцев назад
Maam Bahot Cute hai Yar
@akhiltk1410
@akhiltk1410 3 года назад
very very simple and detailed explanation....thank you so much madam ..
@GaneshInstitute
@GaneshInstitute 3 года назад
If you think our content is good, then plz share it as much as possible and increase our RU-vid family. Thank you
@dipakpaudel012
@dipakpaudel012 3 года назад
Tq mam i am understanding your concepts
@qamarali6299
@qamarali6299 Год назад
Mam Hindi mein Hi Da leti ap😢
@shakalakashankar1030
@shakalakashankar1030 Год назад
L32=3
@charitysago1093
@charitysago1093 3 года назад
Thank you so much ma❣️
@abhishekpatelrollno-2nd861
@abhishekpatelrollno-2nd861 2 года назад
Thanks 👍 ma'am
@arpangoswami2333
@arpangoswami2333 3 года назад
Reee madam kitna accent🥵🥵
@ikhlaqmalik8155
@ikhlaqmalik8155 3 года назад
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..
@golamhasimabdulhalim7777
@golamhasimabdulhalim7777 2 года назад
I like you
@okaforphilip1527
@okaforphilip1527 3 месяца назад
Can this be used on fractions ?
@GaneshInstitute
@GaneshInstitute 3 месяца назад
Yes
@sabareeshg6229
@sabareeshg6229 11 месяцев назад
Thank you mam. I easily understood this problem because your explanation
@Aestheticcc-n6t
@Aestheticcc-n6t 2 года назад
Thank you mam. Tomorrow I have exam
@GaneshInstitute
@GaneshInstitute 2 года назад
All the best.
@vaibhavgadugale
@vaibhavgadugale Год назад
Wow
@muwongeevanspaul9166
@muwongeevanspaul9166 2 года назад
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 👍👍👍👍🔥🔥🔥🔥🔥🔥
@SAKI-fm6rz
@SAKI-fm6rz 11 месяцев назад
Am I the only one paying attention to her looks rather then the equation
@rosaliecalves501
@rosaliecalves501 2 года назад
You're so gorgeous ma'am
@BenCryptoTalks
@BenCryptoTalks 3 года назад
amazing
@ezeezechiaskalumuna4766
@ezeezechiaskalumuna4766 4 года назад
thank you a lot
@GaneshInstitute
@GaneshInstitute 4 года назад
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.
@tlotlisangmolateli8136
@tlotlisangmolateli8136 3 года назад
believe me you are the best ma'am....
@GaneshInstitute
@GaneshInstitute 3 года назад
If you really like our content and efforts plz do share with you friends, help us to grow to 1 million community. Thank you
@janardhank1899
@janardhank1899 3 года назад
Thank you so much for explaing well .it helped me a lot
@tolulopeadewale7044
@tolulopeadewale7044 4 месяца назад
@فراسخضيرعبود
@فراسخضيرعبود 3 года назад
I think English is the best in education Why did you write small?
@mrinalkumar7910
@mrinalkumar7910 2 года назад
Thankyou so so much mam...love u loads .. tomorrow is my paper I think I gained a much confidence
@ashwinvijaymurali8995
@ashwinvijaymurali8995 3 года назад
Mam you put the video for LU decomposition method explain in tamil mam
@gaurieducation9536
@gaurieducation9536 4 года назад
Amazing video
@nikitashrikhande1182
@nikitashrikhande1182 10 месяцев назад
Thank you mam❤ For this great explanation
@meharowais5013
@meharowais5013 11 месяцев назад
@CryptoDen101
@CryptoDen101 Год назад
You just saved my life, my lecturer can't explain like this
@umarfarooq-xv1pr
@umarfarooq-xv1pr Год назад
😍
@sathwikchinta8669
@sathwikchinta8669 Год назад
🥰
@kushalchaitanya7002
@kushalchaitanya7002 2 года назад
143
@MahaLakshmi-um1hz
@MahaLakshmi-um1hz 3 года назад
Awesome explanation mam.... Tq so much...❤️
@LearnPythoninPashto
@LearnPythoninPashto 10 месяцев назад
the way you teach is absolutely magic I am learning from Afghanistan as a computer science student great
@pedapatisaisandeep-gw6ze
@pedapatisaisandeep-gw6ze Год назад
Thank you it saved my life
@sandysandeep417
@sandysandeep417 Год назад
Thank you it saved my life
@roamingwithrao
@roamingwithrao 3 года назад
mam, there is mess onboard please do another video on this concept. please
@starmusicalacademy
@starmusicalacademy Год назад
Ur way of teaching is amazing
@anoopa5429
@anoopa5429 2 года назад
This method is complicated compared to guass elimination and inverse matrix methods
@hkhafiz5415
@hkhafiz5415 7 месяцев назад
best video , thanks
@ChandanAkbarpuria
@ChandanAkbarpuria Год назад
Thank you mam
@GaneshInstitute
@GaneshInstitute Год назад
Keep watching
@francisdanful
@francisdanful Год назад
Thanks, a lot. 🎉❤❤❤
@shoutffgamer4711
@shoutffgamer4711 2 года назад
Beautiful pictures mam
@iqbalnadeem4877
@iqbalnadeem4877 4 месяца назад
Excellent ❤
@VijayVijay-nq2yf
@VijayVijay-nq2yf 3 года назад
I want 4 variables for qn and answer
@NETHA.
@NETHA. Год назад
Wonderful explaination thank you soo much❤️❤️
@aku7598
@aku7598 3 года назад
Can you this?..No
@허유선-y4m
@허유선-y4m 11 месяцев назад
Thank you for your...presentation!
@bishalsarkar73
@bishalsarkar73 Год назад
Very nice explained
@gooseberry_disliker
@gooseberry_disliker 11 месяцев назад
thank you ma'am
@daanishhydri
@daanishhydri Год назад
thank you maam
@tamilolidurai6043
@tamilolidurai6043 3 года назад
Very helpful.. Thank you so much, dear :) God bless.
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@GaneshInstitute 3 года назад
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