Linear Algebra: Tutorial Bank 1st edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Systems of Linear Equations
  • 1.1: Systems of Linear Equations
  • 1.2: Matrix Algebra
  • 1.3: Row Echelon Form
  • 1.4: Reduced Row Echelon Form
  • 1.5: Elementary Matrices and LU Factorization
  • 1.6: Inverse of a Square Matrix
  
  
• Chapter 2: Determinants
  • 2.1: Determinant of a Matrix
  • 2.2: Cramer's Rule
  
  
• Chapter 3: Vector Spaces
  • 3.1: Vectors in Rⁿ
  • 3.2: Vector Space
  • 3.3: Subspaces and Spanning Sets
  • 3.4: Linear Combinations and Independence
  • 3.5: Basis and Dimension
  • 3.6: Coordinates and Change of Basis
  • 3.7: Row and Column Spaces
  
  
• Chapter 4: Linear Transformations
  • 4.1: Linear Transformations
  • 4.2: Null Space and Range
  • 4.3: Matrix Representations of Linear Transformations
  
  
• Chapter 5: Eigenvalues and Eigenvectors
  • 5.1: Eigenvalues and Eigenvectors
  • 5.2: Diagonalization and Similarity
  
  
• Chapter 6: Orthogonality
  • 6.1: Orthogonality
  • 6.2: Inner Product Spaces
  • 6.3: Orthonormal and Gram-Schmidt