Lesson 8 of 11 • 0 upvotes • 14:59mins
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.
11 lessons • 2h 14m
[English] Overview: Foundation Course on Linear Algebra
3:32mins
[English] L1 Introduction to Matrices and Matrix Algebra
11:54mins
[English] L2 Types of Matrices and Introduction to Determinants
12:35mins
[English] L3 Part-I Transpose, Minor, Co-factor, Adjoint and Inverse of a Matrix
13:07mins
[English] L4 Part-II Transpose, Minor, Cofactor, Adjoint and Inverse of a Matrix
13:21mins
[English] L5 More on Determinants and Matrices (Sarrus Method, Hermitian, Skew-Hermitian Matrix)
11:53mins
[English] L6 Part -I Elementary Operations and Rank of a Matrix
12:18mins
[English] L7 Part-II Elementary Operations and Rank of a Matrix
14:59mins
[English] L8 Test of Consistency and Solution of Simultaneous Linear Equation (Cramer's Rule)
14:20mins
[English] Assignment 1 [Solution]
11:51mins
L9 Shortcuts to find out Characteristic Equation of 3x3 and 2x2 matrix
15:00mins