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Three.I.1 Isomorphism, Part One
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Classroom Contents
Linear Algebra - Full College Course
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- 1 Introduction to Linear Algebra by Hefferon
- 2 One.I.1 Solving Linear Systems, Part One
- 3 One.I.1 Solving Linear Systems, Part Two
- 4 One.I.2 Describing Solution Sets, Part One
- 5 One.I.2 Describing Solution Sets, Part Two
- 6 One.I.3 General = Particular + Homogeneous
- 7 One.II.1 Vectors in Space
- 8 One.II.2 Vector Length and Angle Measure
- 9 One.III.1 Gauss-Jordan Elimination
- 10 One.III.2 The Linear Combination Lemma
- 11 Two.I.1 Vector Spaces, Part One
- 12 Two.I.1 Vector Spaces, Part Two
- 13 Two.I.2 Subspaces, Part One
- 14 Two.I.2 Subspaces, Part Two
- 15 Two.II.1 Linear Independence, Part One
- 16 Two.II.1 Linear Independence, Part Two
- 17 Two.III.1 Basis, Part One
- 18 Two.III.1 Basis, Part Two
- 19 Two.III.2 Dimension
- 20 Two.III.3 Vector Spaces and Linear Systems
- 21 Three.I.1 Isomorphism, Part One
- 22 Three.I.1 Isomorphism, Part Two
- 23 Three.I.2 Dimension Characterizes Isomorphism
- 24 Three.II.1 Homomorphism, Part One
- 25 Three.II.1 Homomorphism, Part Two
- 26 Three.II.2 Range Space and Null Space, Part One
- 27 Three.II.2 Range Space and Null Space, Part Two.
- 28 Three.II Extra Transformations of the Plane
- 29 Three.III.1 Representing Linear Maps, Part One.
- 30 Three.III.1 Representing Linear Maps, Part Two
- 31 Three.III.2 Any Matrix Represents a Linear Map
- 32 Three.IV.1 Sums and Scalar Products of Matrices
- 33 Three.IV.2 Matrix Multiplication, Part One
- 34 Three.IV.2 Matrix Multiplication, Part Two
