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Lecture 05: Elementary and Partitioned Matrices
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Justin discusses elementary and partitioned matrices following sections 1.5 and 1.6 of Leon and de Pillis's book.
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Motivation—Equivalent Systems: 0:45
Elementary Matrices: 5:01
Theorem—Elementary Matrices are Nonsingular: 10:41
Row Equivalence: 16:33
Inverses via Elementary Matrices: 22:25
LU Factorization: 37:20
Example—Computing the LU Factorization: 41:03
Partitioned Matrices: 47:36
Example—Computing with Block Matrices: 59:35
---
Motivation—Equivalent Systems: 0:45
Elementary Matrices: 5:01
Theorem—Elementary Matrices are Nonsingular: 10:41
Row Equivalence: 16:33
Inverses via Elementary Matrices: 22:25
LU Factorization: 37:20
Example—Computing the LU Factorization: 41:03
Partitioned Matrices: 47:36
Example—Computing with Block Matrices: 59:35
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Lecture 05: Elementary and Partitioned Matrices
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