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  3. Linear Algebra
  • Linear Combinations and Span

  • Linear Subspaces

  • Linear Transformation Examples: Rotations in R2

  • Linear Transformation Examples: Scaling and Reflections

  • Linear Transformations

  • Linear Transformations as Matrix Vector Products

  • Matrices to solve a system of equations

  • Matrices to solve a vector combination problem

  • Matrices: Reduced Row Echelon Form 1

  • Matrices: Reduced Row Echelon Form 2

  • Matrices: Reduced Row Echelon Form 3

  • Matrix multiplication (part 1)

  • Matrix multiplication (part 2)

  • Matrix Product Associativity

  • Matrix Vector Products

  • Matrix Vector Products as Linear Transformations

  • More on linear independence

  • More on Matrix Addition and Scalar Multiplication

  • Normal vector from plane equation

  • Null Space 2: Calculating the null space of a matrix

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