Num 18- Second solved problem for LU, Crout's method, 3x3 matrix, Option 2.
Автор: Maged KAMEL
Загружено: 2025-12-22
Просмотров: 6
Описание:
Second solved problem for LU, Crout's method, 3x3 matrix, Option 2.
How can we find the lower and upper matrices using option -2?
Using Option 2 turns matrix A into an upper matrix. We can utilize this option to find the inverse of the lower matrix.
The video includes the necessary row operations to obtain the lower matrix and explains how to perform these operations using elementary matrices.
Timestamps:
_________________
00:00 Introduction to a summary of the content of the video.
01:07 The second solved problem for the LU decomposition using Crout’s method, option 2.
04:45 Get the values for L22, L32.
07:15 Get the value for U12, U13, U23 and U33.
09:00 The data of the Upper matrix by using elementary matrices E1, E2, and E3.
09:22 Check that LU product equals A.
10:27 Using elementary matrices to do row operations.
17:35 How can we get the inverse of the lower matrix?
19:54 Check that the multiplication of L by its inverse equals the identity matrix.
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