جبر خطی - راهنمای مدرس MAT223

Lessons Lesson 1 – Linear Combinations The Magic Carpet Ride 1 Lesson 2 – Linear Combinations The Magic Carpet Ride, Hide and Seek 2 3 4 5 Lesson 3 – Visualizing Sets, Formal Language of Linear Combinations 6 7 8 Lesson 4 – Restricted Linear Combinations, Lines 9 10 Lesson 5 – Vector Form of Lines, Intersecting Lines 11 12 Lesson 6 – Planes, Span 13 14 15 Lesson 7 – Span, Translated Span 16 17 Lesson 8 – Linear Independence & Dependence The Magic Carpet Ride, Getting Back Home 18 19 20 Lesson 9 – Linear Independence & Dependence—Equivalent Definitions 21 22 Linear Independence and Dependence, Creating Examples 23 Lesson 10 – Dot Product, Orthogonality 24 25 26 Lesson 11 – Normal Form of Lines and Planes 27 28 29 Lesson 12 – Projections 30 31 32 Lesson 13 – Projections, Subspaces 33 34 Lesson 14 – Basis, Dimension 35 36 Lesson 15 – Matrices 37 38 39 40 Lesson 16 – Change of Basis I 41 42 Lesson 17 – Orientation, Matrix Transformations 43 Italicizing N 44 Lesson 18 – Linear Transformations I Beyond the N 45 46 47 Lesson 19 – Linear Transformations II, Composition of Linear Transformations 48 Pat and Jamie 49 Lesson 20 – Composition & Matrix Transformations, Range, Nullspace 50 51 52 Lesson 21 – Fundamental Subspaces 53 54 55 56 Lesson 22 – Rank 57 58 59 60 Lesson 23 – Rank-nullity Theorem, Inverses I 61 62 Getting back N 63 Lesson 24 – Inverses II, Elementary Matrices 64 65 66 Lesson 25 – Applications of Inverses I 67 68 69 Lesson 26 – Applications of Inverses II, Change of Basis 70 71 Lesson 27 – Determinants 72 73 74 75 76 Lesson 28 – Determinants and Compositions 77 78 79 80 81 Lesson 29 – Eigenstuff I The Green and the Black 82 Lesson 30 – Eigenstuff II 83 84 85 Lesson 31 – Characteristic Polynomial, Diagonalization I 86 87 88 Lesson 32 – Diagonalization II 89 90 Lesson 33 – Diagonalization III 91