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11G The Dot Product
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Classroom Contents
Linear Algebra
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- 1 1 Elementary Linear Algebra.flv
- 2 2 Construction of a Matrix-YouTube sharing.mov
- 3 3A Matrix Addition and Subtraction-YouTube sharing.mov
- 4 3B Addition and Subtraction Examples-YouTube sharing.mov
- 5 4A Matrix Multiplication-YouTube sharing.mov
- 6 4B Transpose of a Matrix-YouTube sharing.mov
- 7 4C Properties of the Transpose
- 8 5A Properties of Matrix Arithmetic-YouTube sharing.mov
- 9 5B Commutative Law of Matrix Multiplication-YouTube sharing.mov
- 10 6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov
- 11 6B Row-Echelon Forms-YouTube sharing.mov
- 12 6C Reduced Row-Echelon Form with Gauss-Jordan Elimination-YouTube sharing.mov
- 13 7A_1 Linear Algebra Definitons
- 14 7A_2 Linear Algebra Definitions
- 15 7A_3 Linear Algebra Definitions
- 16 7B Inverse of a Matrix-YouTube sharing.mov
- 17 7C Inverse of a Matrix Example 1-YouTube sharing.mov
- 18 7C Inverse of a Matrix Example 2-YouTube sharing.mov
- 19 7C Inverse of a Matrix Example 3-YouTube sharing.mov
- 20 7C Inverse of a Matrix Example 4-YouTube sharing.mov
- 21 7D Matrix Exponents
- 22 7E The Elementary Matrix
- 23 7F Diagonal Triangular Symmetric Matrices
- 24 8 Row and Column Views of a Matrix
- 25 9A_1 The Inverse of a Matrix
- 26 9A_2 The Inverse of a Matrix Using the Idenity Matrix
- 27 9A_3 The Inverse of a Matrix Using the Identity Matrix
- 28 9A_4 The Inverse of a Matrix Using the Determinant
- 29 9A_5 The Inverse of a Matrix Cramer Method
- 30 9B The Determinant
- 31 9C The Determinant
- 32 9D The Determinant
- 33 9E The Determinant
- 34 9F The Determinant
- 35 9G The Determinant
- 36 9H The Determinant
- 37 10A An Introduction to Eigenvalues and Eigenvectors
- 38 11A Introduction to Vectors
- 39 11B Introduction to Vectors
- 40 11C The Norm of a Vector
- 41 11D The Norm of a Vector
- 42 11E The Dot Product
- 43 11F The Dot Product
- 44 11G The Dot Product
- 45 11H Orthogonal Projection of a Vector
- 46 11I Orthogonal Projection of a Vector
- 47 11J Orthogonal Projection of a Vector
- 48 11K More Example of Dot Product and Orthogonal Projections
- 49 11L More Example of Dot Product and Orthogonal Projections
- 50 11M The Cross Product
- 51 11N The Cross Product
- 52 11O The Cross Product
- 53 11P The Cross Product
- 54 11Q The Cross Product
- 55 11R The Cross Product
- 56 11S The Cross Product
- 57 12A Equations of a Plane
- 58 12B Plane Geometry
- 59 12C Plane Geometry
- 60 12D Plane Geometry
- 61 12E Plane Geometry
- 62 12F Plane Geometry
- 63 12G Plane Geometry
- 64 12H Plane Geometry
- 65 12I Plane Geometry
- 66 12J Plane Geometry
- 67 12K Additional Plane Geomtery Facts.flv
- 68 12L Additional Plane Geometry Facts.flv
- 69 12M Additional Plane Geometry Facts
- 70 13A Vectors in n Space
- 71 13B Vectors in n Space
- 72 13C Norm and Distance in Euclidean n Space
- 73 13D Orthogonality
- 74 13E A Matrix Equation for the Dot Product
- 75 13F Example Problems for Euclidean n Space
- 76 14A Introduction to Complex Numbers
- 77 14B Complex Number Multiplication
- 78 14C Matrices with Complex Number Elements
- 79 14D Sample Problems
- 80 14E Division of Complex Numbers
- 81 14F Division of Complex Numbers
- 82 14G Division of Complex Numbers
- 83 14H Division of Complex Numbers
- 84 14I Division of Complex Numbers
- 85 14J Polar Form of Complex Numbers and the nth Root
- 86 14K Polar Form of Complex Numbers and the nth Root
- 87 14L Polar Form of Complex Numbers and the nth Root
- 88 14M Polar Form of Complex Numbers and the nth Root
- 89 14N Polar Form of Complex Numbers and the nth Root
- 90 14O The nth Root of a Number
- 91 14P The nth Root of a Number
- 92 14Q The nth Root of a Number
