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Linear Algebra - Full College Course

via freeCodeCamp

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Details

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Provider

freeCodeCamp
Pricing

Free Video
Languages

English
Effort

12 hours
Sessions

Self-Paced
Level

Beginner

Found in

Linear Algebra Courses

Video lecture series covering a complete college linear algebra course based on Jim Hefferon's textbook. Topics include solving linear systems and describing solution sets, vectors in space, length and angle measure, Gauss-Jordan elimination, the linear combination lemma, vector spaces and subspaces, linear independence, basis and dimension, isomorphisms and homomorphisms, range and null spaces, representing linear maps with matrices, and matrix addition, scalar multiplication and multiplication. Suited to students beginning linear algebra who are comfortable with school algebra and want a proof-oriented treatment.

Syllabus

Introduction to Linear Algebra by Hefferon.
One.I.1 Solving Linear Systems, Part One.
One.I.1 Solving Linear Systems, Part Two.
One.I.2 Describing Solution Sets, Part One.
One.I.2 Describing Solution Sets, Part Two.
One.I.3 General = Particular + Homogeneous.
One.II.1 Vectors in Space.
One.II.2 Vector Length and Angle Measure.
One.III.1 Gauss-Jordan Elimination.
One.III.2 The Linear Combination Lemma.
Two.I.1 Vector Spaces, Part One.
Two.I.1 Vector Spaces, Part Two.
Two.I.2 Subspaces, Part One.
Two.I.2 Subspaces, Part Two.
Two.II.1 Linear Independence, Part One.
Two.II.1 Linear Independence, Part Two.
Two.III.1 Basis, Part One.
Two.III.1 Basis, Part Two.
Two.III.2 Dimension.
Two.III.3 Vector Spaces and Linear Systems.
Three.I.1 Isomorphism, Part One.
Three.I.1 Isomorphism, Part Two.
Three.I.2 Dimension Characterizes Isomorphism.
Three.II.1 Homomorphism, Part One.
Three.II.1 Homomorphism, Part Two.
Three.II.2 Range Space and Null Space, Part One.
Three.II.2 Range Space and Null Space, Part Two..
Three.II Extra Transformations of the Plane.
Three.III.1 Representing Linear Maps, Part One..
Three.III.1 Representing Linear Maps, Part Two.
Three.III.2 Any Matrix Represents a Linear Map.
Three.IV.1 Sums and Scalar Products of Matrices.
Three.IV.2 Matrix Multiplication, Part One.
Three.IV.2 Matrix Multiplication, Part Two.