Скачать или смотреть Num-05b- Second part: Find x1, x2 and x3 values using LU decomposition.

Second part: How can we get x1, x2, and x3 values?
Two methods are used; the first method is to use C as U*X, find the inverse of matrix L, multiply by B, and get the elements of the C matrix.
Use the inverse of U to get the value of Vector X.
The second method is to multiply the inverse of U by the inverse of L by the matrix C to get the values of x1, x2, and x3.
The content of this video can be downloaded and reviewed via post 5A:
https://magedkamel.com/5a-second-solv...
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Playlist link:
   • Numerical methods ( part 2)-SOLVING LINEAR...  
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Details of videos and Links:
Num 01- Find the inverse of a matrix - Use Elementary Matrices and others-For a 2x2 matrix.
The data of this video can be found at the following link: https://magedkamel.com/1-introduction...
Video link for Num-01:
   • Num 01- Find the inverse of a matrix - Use...  
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Num-02-LU Decomposition Made Easy: 2x2 Matrix Walkthrough-Doolittle's method.
The Content of this video can be reviewed via this link. https://magedkamel.com/2-lu-decomposi...
Video link for Num-02:
   • Num-02-LU Decomposition Made Easy: 2x2 Mat...  
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Num-03-LU Doolittle Method Explained: Finding X and Y Solutions for two linear equations.
The content of this video can be viewed through this link for post 3: https://magedkamel.com/3-solve-for-x-...
Video link for Num-03:
   • Num-03-LU Doolittle Method Explained: Find...  
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Num 04- Derive an expression for LU decomposition for a 3x3, Doolittle's method.
Please refer to post 4 to review the content of this video: https://magedkamel.com/4-the-expressi...
Video link for Num-04:
   • Num 04- Derive an expression for LU decomp...  
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Num 05- Practice problem: Find L and U matrices for a given 3x3 Doolittle's Method.
Please refer to post 5 to review the content of this video: https://magedkamel.com/5-first-solved...
Video link for Num-05:
   • Num 05- Practice problem: Find L and U mat...  
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Num 05A- Part 1-Solve for the three unknowns X1, X2 and X3-Use LU decomposition.
The content of this video can be reviewed and downloaded as a PDF file via post 5A. https://magedkamel.com/5a-second-solv...
Video link for Num-05A:
   • Num 05A- Part 1-Solve for the three unknow...  
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Num-05b- Second part: Find x1, x2 and x3 values using LU decomposition.
The content of this video can be reviewed and downloaded as a PDF file via post 5A. https://magedkamel.com/5a-second-solv...
Video link for Num-05b:
   • Num-05b- Second part: Find x1, x2 and x3 v...  
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Timestamps:
00:00 Introduction to Minors and Cofactors for a Square Matrix. Introduction
02:06 Find the inverse of the lower matrix L.
03:39 The estimate for C11 till C23.
04:33 The estimate for C31 till C33.
05:05 Find the expression for the C matrix.
06:00 Detailed estimate for the inverse of U.
07:02 Find the elements of the inverse of U.
07:57 The values of X1, X2 and X3.
08:11 Check A*x=B.
08:44 Quick solution to get x1,x2 and x3.