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Linear Algebra

Step by Step by Kuldeep Singh.

  • Chapter 2: Euclidean Space
    • 2.1 Properties of Vectors
    • 2.2 Further Properties of Vectors
    • 2.3 Linear Dependence
    • 2.4 Basis and Spanning Set
  • Chapter 5: Linear Transformation (incomplete)
    • 5.1 Introduction to Linear Transformations
    • 5.2 Kernel and Range of a Linear Transformation
    • 5.3 Rank and Nullity
    • 5.4
    • 5.5
    • 5.6
  • Chapter 6: Determinants and the Inverse Matrix
    • 6.1 Determinant of a Matrix
    • 6.2 Determinants of Other Matrices
    • 6.3 Properties of Determinants
    • 6.4 LU Factorization
  • Chapter 7: Eigenvalues and Eigenvectors
    • 7.1 Introduction to Eigenvalues and Eigenvectors
    • 7.2 Properties of Eigenvalues and Eigenvectors
    • 7.3 Diagonalization
    • 7.4 Diagonalization of Symmetric Matrices
    • 7.5 Singular Value Decomposition

P.S. Please do not copy it, there are 20,457 lines of LaTeX written meticulously for it.

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Linear Algebra Step by Step by Kuldeep Singh. Solved step by step through LaTeX

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