Linear Algebra 2: Determinants (English)

   Tuesday, December 08, 2020   

Starting a new Lecture Notes Series on Linear Algebra 2: Determinants 

Youtube Lecture Playlist Credits 

Channel Name: Michel van Biezen

Faculty Name: Michel van Biezen Sir

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Linear Algebra 2: Determinants
By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: What is a Determinant? (Part 1)

Lecture 2: What is a Determinant? (Part 2)

Lecture 3: What is a Determinant? (Part 3)

Lecture 4: What is a Determinant? (Part 4)

Lecture 5: Rules of a Determinant?

Lecture 6: Example of Rule 1: Multiplying by a Constant

Lecture 7: Example of Rule 2: The Negative of a Determinant (2x2)

Lecture 8: Example of Rule 2: The Negative of a Determinant (3x3)

Lecture 9: Example of Rule 3: Distributive Property

Lecture 10: Example of Rule 4: Determinant of Idenitity Matrix

Lecture 11: Example of Rule 5: Inverse of a Matrix

Lecture 12: Example of Rule 6: |BAB^-1|=|A|

Lecture 13: Example of Rule 7: Transpose of a Matrixv

Lecture 14: Example of Rule 8: The Conjugate of a Matrix

Lecture 15: Example of Rule 9: Identical Rows

Lecture 16: Example of Rule 10: Row of Zeros

Lecture 17: Example of Rule 11: Dependent Rows

Lecture 18: Example of Rule 12: Non-Invertible Matrix

Lecture 19: Example of Rule 13: Invertible Matrix

Lecture 20: The Minor of a Matrix (3x3)

Lecture 21: The Minor of a Matrix (4x4)

Lecture 22: The Cofactor of a Matrix

Lecture 23: Non-Invertible Matrix: Example

Lecture 24: Lambda=? of det(A(Lambda(I))=0

Lecture 25: Lambda=? of det(A(Lambda(I))=0

Lecture 26: Product of Determinants: 2x2

Lecture 27: 3 Ways of Finding the Determinants: 3x3

Lecture 28: 3 MORE Ways of Finding the Determinants: 3x3

Lecture 29: Product of Determinants: 3x3

Lecture 30: Rule of Addition: 2x2 Determinants

Lecture 31: Multiplying by a Constant: 2x2 Determinants

Lecture 32: Determinant of a [3x1]x[1x3]=?

Lecture 33: Find Determinant=? by Reducing to Echleon Form: 1

Lecture 34: Find Determinant=? by Reducing to Echleon Form: 2

Lecture 35: Find Determinant=? by Reducing to Echleon Form: 3

Lecture 36: Find Determinant=? by Reducing to Echleon Form: 4m

Lecture 37: Find Determinan=? by Reducing to Echleon Form: 5

Lecture 38: Using the Product Rule (and Others)

Lecture 39: Determinant of Matrices with A lot of Zeros

Lecture 40: Gauss-Jordan Elimination: Unique Solution

Lecture 41: Gauss-Jordan Elimination: Infinite Solutions

Lecture 42: Gauss-Jordan Elimination: Inconsistent Solution

Lecture 43: x=? y=? Using Crammer's Rule

Lecture 44: x1=? x2=? x3=? Using Crammer's Rule 3x3 Matrix

Lecture 45: Find Inverse Using the Adjugate Matrix (3x3)

Lecture 46: Find Inverse Using the Adjugate Matrix (2x2)

Lecture 47: Area of Parallelogram=? (Using Matrices)

Lecture 48: Method of Least Squares