Linear Algebra Tutor by College Math Professor-Over 50 Hours-26 Topics

Each topic in the video is discussed thoroughly with numerous examples worked out step by step. The videos are designed to prepare students for advanced algebra courses. Topics covered include properties of matrices, vector spaces and much more. To be successful in math one has to master the basic skills. Higher math builds upon lower math and my focus is to make math enjoyable and exciting so that students look forward to future courses. Many students have math phobia because most instructors teach it as a “dry”, impersonal and boring subject that they must take. I make math engaging and if students learn math my way they build life skills, they learn to think and can solve any similar problems in the future. My videos are creatively made to help the weakest student.

Topics in video- Over 50 Hours-26 Topics

1 Linear Systems

2 Matrices

3 Dot Product and Matrix Multiplication

4 Properties of Matrix Operations

5 Solutions of Systems of Equations

6a The Inverse of a Matrix

6b The Inverse of a Matrix

7 Determinants

8 Cofactor Expansion

9 Cramer's Rule

10 Vectors in R^2

11 Vectors in R^n

12 Intro to Transformation

13 Lines and Planes

14 Real Vector Spaces

15 Subspaces

16 Linear Independence

17 Basis and Dimension

18 Homogeneous System

19 The Rank of a Matrix

20 Coordinates & Change of Basis

21 Orthonormal Bases in R^n

22 Eigen Value-Eigen Vector-Diagonalization

23 Diagonalization of a Symmetric Matrix

24 Definition and Examples of Transformation

25 The Kernel and Range of a Transformation

26 The Matrix of a Transformation