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.
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 |

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