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Rank of a matrix | Linear Algebra #16
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📚About
Rank of a matrix is one of the most fundamental concepts in understanding linear algebra. This lecture does a tremendous effort in clearing the concept.
⏲Outline⏲
00:00 Introduction
00:18 What is a Rank ?
01:47 Lemma of two spans
03:42 Row-Space Theorem
06:21 Example 1: 2x2 case
08:02 Example 2: Another 2x2 case
11:28 Example 3: 3x3 case
15:01 Example 4: 4x4 case
19:04 Nullity
19:41 Rank-Nullity Theorem
21:38 SVD: Singular Valued Decomposition
22:38 Summary
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