LU Decomposition of Matrix 2 - Crout's Method + Detailed Explanation

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My Numerical Methods Tutorials-

Hi I'm Sujoy. And today I'll tell you how to find LU decomposition of square matrix by Crout's Method and detailed explanation. This is my second video in the series. In my previous video,I've shown how to find the LU decomposition by shortcut method. In my next video, I'll show you that you can't find the LU decomposition of some matrices and rules for finding the LU decomposition and LU factorization.

Topics explained in this video-
1. Basics of matrix algebra
2. What is square matrix
3. Explanation of Row,column and diagonal of a matrix
4. Explanation of square matrix and coordinates of elements in a matrix
5. What is lower triangular matrix and upper triangular matrix - explanation
6. How to multiply 3x3 matrices (matrix multiplication process explained)
7. A = L x U demonstration
8. How to find Crout's Table
9. How to find lower triangular matrix and upper triangular matrix by Crout's Method
10. L and U are not unique for a matrix - demonstration
11. Different representations of matrices - Lower Triangular and Upper Triangular matrices.

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1) Statistics,
2) Numerical Methods,
3) Calculator Tricks for Exams
4) Business & Financial Mathematics,
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6) Computer Science & Engineering(CSE),
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8) Life Hacks!
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and many other topics.
Plz visit my channel to watch them. Thanks!

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Excellent explanation sir,
Even my professors couldn't explain well as you
Thanks a lot 👍🏻👍🏻👍🏻👍🏻

yakkaliharshitha
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Dude honestly you're a life saver!!! i was so tensed coz i have my exam in a few hours but i've watched your videos and i guess i maybe able to give a good shot in exam

MrSaiyah
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you have given a detailed Explanation.thank you

vikasmothukuri
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You are awesome men.Very clean and simple presentation.

berkk
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Great !  Explained so simply and understandably. Keep it up (Y)

parmatmanand
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thank u very much. very well explained.

hackerofhearts
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Sir please ap M.SC level course discuss karin

newsnews
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there are differnt forms of L and u...hw to knw wht to apply on a ques whre 3 eqns are given sir?

nilabjachoudhury
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you did not explain how you found L and U at all. You spent 15 mins talking about matrix multiplication

Combat_Rat