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[English] L7 Part-II Elementary Operations and Rank of a Matrix

Lesson 8 of 11 • 0 upvotes • 14:59mins

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Pooja Punetha

Topics Covered: Inverse of a Matrix and another condition of being Invertible- Gauss Jordan Method of Calculating Inverse, Rank of a Matrix, Relation of Rank to Inverse of a Matrix, Conditions Related to Rank of a Matrix + Assignment-5 The Part two of Elementary Operations and Rank of a Matrix. In this lecture Gauss Jordan Method of finding inverse of a Matrix is discussed. The basic concept of rank in terms of elementary operations is also discussed. Remember: The fifth and sixth operation of elementary operations is also known as linear combination of Rows and Colums that was talked about in lecture 4.

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1

[English] Overview: Foundation Course on Linear Algebra

3:32mins

2

[English] L1 Introduction to Matrices and Matrix Algebra

11:54mins

3

[English] L2 Types of Matrices and Introduction to Determinants

12:35mins

4

[English] L3 Part-I Transpose, Minor, Co-factor, Adjoint and Inverse of a Matrix

13:07mins

5

[English] L4 Part-II Transpose, Minor, Cofactor, Adjoint and Inverse of a Matrix

13:21mins

6

[English] L5 More on Determinants and Matrices (Sarrus Method, Hermitian, Skew-Hermitian Matrix)

11:53mins

7

[English] L6 Part -I Elementary Operations and Rank of a Matrix

12:18mins

8

[English] L7 Part-II Elementary Operations and Rank of a Matrix

14:59mins

9

[English] L8 Test of Consistency and Solution of Simultaneous Linear Equation (Cramer's Rule)

14:20mins

10

[English] Assignment 1 [Solution]

11:51mins

11

L9 Shortcuts to find out Characteristic Equation of 3x3 and 2x2 matrix

15:00mins

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