LU Decomposition Method To Solve Linear Equations. Quick, Easy, Credible
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- Опубликовано: 8 сен 2024
- 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!
You are the best LU tutor i have seen😍😍
Thank you so much. This makes more sense that my textbook. Lol
Thank you so much for this lecture! With your help, I passed my numerical analysis exam with a high grade ❤
same here 😇
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
the way you teach is absolutely magic I am learning from Afghanistan as a computer science student great
The best best best best lecture of lu and qr decomposition watched so far.Darling you saved my life❤
बहुत दिनों से आपकी क्लास का इंतजार था।।
थैंक्स
Thank you mam.......
I understand that from zero to hero.
Your teaching method is very very nice.
And .................
Your are also very handsome..
mam dara meherbani kor wadan love you mam and your method is also gopod quetta balochistan pakistan
Awesome video yes this method is unnecessarily lengthy but GATE2022 this method was particularly asked to solve system of linear equation.
Why are the diagonals 1 by default for the L matrix?
Because here L is the unit lower triangular matrix
Where as U is upper triangular matrix
thank u madam u have no idea how much u save my life
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 👍👍👍👍🔥🔥🔥🔥🔥🔥
Thankyou so so much mam...love u loads .. tomorrow is my paper I think I gained a much confidence
very good
Thinks mam you explain its more in a better way
Thank you mam. I easily understood this problem because your explanation
I really like this and I've gained more. Thank you so much for this session!!!
You just saved my life, my lecturer can't explain like this
You are life saver 🔥💯
very very simple and detailed explanation....thank you so much madam ..
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Thank you
Thank you so much mam for this lecture ... 🙂
you are highly respected for being a teacher. and you are blessed with beauty which is worth watching
believe me you are the best ma'am....
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Thank you
Thank you!!☺☺
Ur way of teaching is amazing
Mam you are so cute 😍😍.Also your teaching style is better than other youtubers
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Thank you soo much
Ganesh institute
Thank you mam 😍_
Thanks mam this video was very helpful.
Thank you it saved my life
Tq mam i am understanding your concepts
Nice explanation!
Why it is 1,1,1 in principal diagonal of L as it is different in U
Thats how LU decomposition is done.
L is lower triangular matrix with unit diagonals specifically but no such restrictions on U
Thank you mam❤
For this great explanation
Thanks 👍 ma'am
Amazing video
best video , thanks
Thank you for your...presentation!
Wonderful explaination thank you soo much❤️❤️
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
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Thank you so much for explaing well .it helped me a lot
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
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Very nice explained
she makes it look so easy :c man i hate math
Awesome explanation mam.... Tq so much...❤️
amazing
you just saved my life for tomorrow test.
All the best
Thank you so much ma❣️
Excellent ❤
what a splendid video thank you, l understood the concept
For lower triangular matrix why did u take 1 in the diagonal
Thats how LU decomposition is done.
L is lower triangular matrix with unit diagonals specifically but no such restrictions on U
Ok thank you 👍
Thank you mam
Keep watching
Thank you so much❤ madam for this vedio lecture...
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Thanks, a lot. 🎉❤❤❤
Thank you mam. Tomorrow I have exam
All the best.
thank you ma'am
thank you a lot
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And can we take unity in the upper triangular matrix as well
Very helpful.. Thank you so much, dear :) God bless.
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Beautiful pictures mam
thank you maam
Thank you
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
not valid
Bohet acha
Tqsm
Thanks so much mam.
i love mama u saved my life
Much appreciated
what a way to sums that up ... 10/10 for your effort and explanation technique
why you have taken 1,1,1 as diagonal element for matrix L ..................can't we take L11,L22,L33
oh i got it now :D thanks so much!
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
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..
Super mam
thank u mam
Your way of teaching is good but more confusion you can solve it step by step solution.....
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@@GaneshInstitute yer i am your chanel subscrib because your teaching is very good 😊
love you mam
I should be paying my school fees to this lady
mam, there is mess onboard please do another video on this concept. please
West u explanation
Is there unities in diagonal of upper triangular matrix?
You're so gorgeous ma'am
Thank you and you are sooo beautiful mam..😍🤩
Thank u madam
Extremely lengthy
Beautiful explanation like you... Good mam
Wow
Mam you put the video for LU decomposition method explain in tamil mam
This method is complicated compared to guass elimination and inverse matrix methods
Can this be used on fractions ?
Yes
Did you come from England?
maam,why are uh raking 1in lower triangular matrix
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
Mam qes complete kroo
I want 4 variables for qn and answer
❤
Does crout's method is different from this???
No it's same as Gauss Seidel method.
I like you
Transformation level...lit
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Ganesh Institute!!
maam plz,repky tomorrow is my exam
Voice is very low