In this lesson we are going to
Solve a system of linear equations using LU Decomposition.
Steps Involved
1. We first represent the system in the form Ax = b,
Ax = b, decompose A = LU, L = lower Triangular Matrix and U = Upper Triangular Matrix
LUx = b, let Ux = z......(2), therefore,
Lz = b.....(1)
00:00 - Example 1
Playlists on various Course
1. Applied Electricity
https://www.youtube.com/playlist?list=PLInywrvFyvq7pFsDEDu2-n0f5UOhpqWBD
2. Linear Algebra / Math 151
https://www.youtube.com/playlist?list=PLInywrvFyvq4IE-nW-ikwkZ2v81n31HQX
3. Basic Mechanics
https://www.youtube.com/playlist?list=PLInywrvFyvq6FUfAigJ3157kg-nZ020fd
4. Calculus with Analysis / Calculus 1 / Math 152
https://www.youtube.com/playlist?list=PLInywrvFyvq6_G3iA7LHbt5exJgGbp4Ok
5. Differential Equations / Math 251
https://www.youtube.com/playlist?list=PLInywrvFyvq408vWA5OYXShA6rlT51TdS
6. Electric Circuit Theory / Circuit Design
https://www.youtube.com/playlist?list=PLInywrvFyvq4sNicTbLBUpgkxrkcs2OGN
7. Calculus with Several Variables
https://www.youtube.com/playlist?list=PLInywrvFyvq5IXmWYBTTMvM_EdNcfUVt3
8. Numerical Analysis
https://www.youtube.com/playlist?list=PLInywrvFyvq7oAlPscVnXsd8CRTsh0b77
Make sure to watch till the end.
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