Educator - Linear Algebra

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Educator - Linear Algebra
Educator - Linear Algebra

English | Size: 2.15 GB (2,313,454,321 Bytes)

Professor Raffi Hovasapian covers Educator's Linear Algebra course with topics spanning everything from Matrices to Eigenvectors. Each lesson begins with essential theory and is anchored with many worked-out examples. Other topics in this fully self-contained Linear Algebra course include Determinants, Linear Transformations, Homogeneous Systems, and Orthogonal Complements. Professor Hovasapian combines his triple degrees in Mathematics, Chemistry, and Classics with his 10+ years of teaching experience to help students understand difficult mathematical concepts.

Table of Contents (Titles and Durations) :

I. Linear Equations and Matrices
Linear Systems 39:03
Matrices 30:34
Dot Product & Matrix Multiplication 41:42
Properties of Matrix Operation 43:17
Solutions of Linear Systems, Part 1 38:14
Solutions of Linear Systems, Part II 28:54
Inverse of a Matrix 28:54
II. Determinants
Determinants 21:25
Cofactor Expansions 59:31
III. Vectors in Rn
Vectors in the Plane 46:54
n-Vector 52:44
Linear Transformation 48:53
Linear Transformations, Part II 34:08
Lines and Planes 37:54
IV. Real Vector Spaces
Vector Spaces 42:19
Subspaces 43:37
Spanning Set for a Vector Space 33:15
Linear Independence 17:20
Basis & Dimension 31:20
Homogeneous Systems 24:45
Rank of a Matrix, Part I 35:03
Rank of a Matrix, Part II 29:26
Coordinates of a Vector 27:03
Change of Basis & Transition Matrices 33:47
Orthonormal Bases in n-Space 32:53
Orthogonal Complements, Part I 21:27
Orthogonal Complements, Part II 33:49
V. Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors 38:11
Similar Matrices & Diagonalization 29:55
Diagonalization of Symmetric Matrices 30:14
VI. Linear Transformations
Linear Mappings Revisited 24:05
Kernel and Range of a Linear Map, Part I 26:38
Kernel and Range of a Linear Map, Part II 25:54
Matrix of a Linear Map 33:21

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