Study Linear Algebra Done Right

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Linear Algebra Done Right

• [x] 1 Vector Spaces
  • [x] 1.A Rn and Cn
  • [x] Complex Numbers
  • [x] Lists
  • [x] Fn
  • [x] Digression on Fields
  • [x] 1.B Definition of Vector Space
  • [x] 1.C Subspaces
  • [x] Sums of Subspaces
  • [x] Direct Sums
• [ ] 2 Finite-Dimensional Vector Spaces
  • [ ] 2.A Span and Linear Independence
  • [ ] Linear Combinations and Span
  • [ ] Linear Independence
  • [ ] 2.B Bases
  • [ ] 2.C Dimension
• [ ] 3 Linear Maps
• [ ] 4 Polynomials
• [ ] 5 Eigenvalues, Eigenvectors, and Invariant Subspaces
• [ ] 6 Inner Product Spaces
• [ ] 7 Operators on Inner Product Spaces
• [ ] 8 Operators on Complex Vector Spaces
• [ ] 9 Operators on Real Vector Spaces
• [ ] 10 Trace and Determinant

(To be continued)

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Extended Reading

• [ ] Flatland: A Romance of Many Dimensions by Edwin Abbott Abbott
• [ ] Linear Algebra Done Wrong