Math244

Inner Product Spaces

  • Definition of Inner Product
  • Orthogonality
  • Orthonormal Basis
Linear Transformations

  • Basic Properties
  • Kernel and Image of Linear Transformation
  • Matrix of Linear Transformation
Eigenvalues and Eigenvectors & Diagonalization
 
-Eigenvalues and Eigenvectors
-Diagonalization
Matrices

  • Matrices and Matrix Operations
  • Elementary Row Operations
  • Inverse of Matrix
  • Special Matrices
Determinants

  • Definition of Determinant
  • Properties of Determinants
  • The Adjoint Matrix
Systems of Linear Equations

  • Gauss and Gauss–Jordan Methods
  • Homogeneous systems of linear equations
  • Cramer’s Rule
Vector Spaces
 

  • Definition of a Vector Space
  • Subspaces
  • Linear Combination and Spanning Sets
  • Linear Dependence & Linear Independence
  • Basis and Dimension
  • Coordinates and Change of Basis
  • Rank of the Matrix
المرفق الحجم
chapter1-m244-slides.pdf 246.14 كيلوبايت
chapter2-m244-slides.pdf 234.05 كيلوبايت
chapter3-m244-slides.pdf 195.35 كيلوبايت
chapter4-e-slides.pdf 296.78 كيلوبايت
chapter5-e-slides.pdf 207.71 كيلوبايت
chapter6-m244-slides.pdf 217.32 كيلوبايت
chapter7-m244-slides.pdf 172.16 كيلوبايت
ملحقات المادة الدراسية