Fundamentals to Linear Algebra

20h 53m 19s
English
Paid

Unleash the power of linear algebra to conquer the world of data science, machine learning, and artificial intelligence. This intensive course will transform you into a master of mathematics, ready to tackle real-world challenges with practical skills and unwavering confidence.

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# Title Duration
1 Welcome Message 14:18
2 Linear Algebra RoadMap 2024 19:12
3 Pre-Requisites Introduction 09:03
4 Refreshment - Norms & Euclidean Distance 10:31
5 Refreshment - Real Numbers and Vector Space 04:14
6 Refreshment - Cartesian Coordinate System & Unit Circle 04:45
7 Refreshment - Angles, Unit Circle and Trigonometry 13:24
8 Refreshment - Pythagorean Theorem & Orthogonality 05:25
9 Why these Pre-Requisites Matter 02:28
10 Module 2.1: Foundations of Vectors 30:55
11 Module 2.2: Special Vectors and Operations 56:53
12 Module 2.3: Part 1 - Scalar Multiplication 25:06
13 Module 2.3 Part 2 - Linear Combination and Unit Vectors 47:10
14 Module 2.3 Part 3 - Span of Vectors 40:06
15 Module 2.3: Part 4 - Linear Independence 31:53
16 Module 2.4: Dot Product, Cauchy-Schwarz Inequality and Its 01:29:45
17 Module 1: Foundations of Linear Systems and Matrices 16:50
18 Module 2: Introduction to Matrices 30:01
19 Module 3: Core Matrix Operations 35:01
20 Module 4: Part 1 Solving Linear Systems - Gaussian Reduction 47:23
21 Module 4: Part 2 Solving Linear Systems - Gaussian Reduction 01:07:47
22 Module 4: Part 3 Solving Linear Systems - Gaussian Reduction 01:10:00
23 Module 4: Part 4 Solving Linear Systems - Gaussian Reduction 53:47
24 Module 1: Algebraic Laws for Matrices 56:31
25 Module 2: Determinants and Their Properties 50:52
26 Module 3: Matrix Inverses and Identity Matrix 01:03:32
27 Module 4: Transpose of Matrices: Properties and Applications 23:15
28 Module 1: Part 1 Basis of Vector Space 35:39
29 Module 1: Part 2 Vector Projection and Calculation 41:12
30 Module 1: Part 3 Gram-Schmidt Process 36:53
31 Module 2: Special Matrices and Their Properties 14:39
32 Module 3: Matrix Factorization, Examples and Applications 27:03
33 Module 4: QR Decomposition Overview 42:52
34 Module 5: Eigenvalues, Eigenvectors, and Eigen Decomposition 01:16:31
35 Module 6: Singular Value Decomposition (SVD) 58:23

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