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My Numerical Methods Tutorials-
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Hi I'm Sujoy. And today I'll tell you how to find LU decomposition of square matrix by shortcut method. This is my first video in the series. In my next video, I'll tell you how to find the LU decomposition of square matrix by Crout's Method. I'll also show you that L and U are not unique for a matrix. There may be more than one L and more than one U for a given matrix.
Topics explained in this video-
1. Basics of matrix algebra
2. What is square matrix
3. Meaning of Row,column and diagonal of a matrix
4. Meaning of square matrix and coordinates of elements in a matrix
5. What is lower triangular matrix and upper triangular matrix - explanation
6. What is row echelon form of a matrix
7. A = L x U
8. How to convert a matrix to row echelon form - step by step tutorial
9. How to find lower triangular matrix and upper triangular matrix.
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