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** **Linear Algebra Tutor-Over 50 Hours Long-26 Topics

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**This video covers 26 topics in over 50 hours. This video is made by working out numerous examples in easy to follow, logical steps. The topics covered in the video include properties of matrices, matrix multiplication, vector spaces, linear transformation and more. Each topic is covered thoroughly to give a student the understanding to work out problems on their own. The video is a great resource and will insure student’s success.**

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**Topics in Linear Algebra**

**1 Linear Systems**

** ****2 Matrices**

**3 Dot Product and Matrix Multiplication**

**4 Properties of Matrix Operations**

**5 Solutions of Linear 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 Linear 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 Linear Transformation**

**25 The Kernel and Range of a Linear Transformation**

**26 The Matrix of a Linear Transformation**

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