Your browser version is outdated. We recommend that you update your browser to the latest version.

Linear Algebra:

 

Linear Equations

  • Systems of Linear Equations
  • Row Reduction and Echelon Forms
  • Vector Equations
  • The Matrix Equation Ax=b
  • Solution Sets of Linear Systems
  • Linear Independence
  • Linear Transformations and the Matrix of a Linear Transformation
  • Applications of Linear Systems and Linear Models in Business, Science and Engineering

 

Matrix Algebra

  • Matrix Operations and Determinants
  • The Inverse of a Matrix
  • Characterizations of Invertible Matrices
  • Partitioned Matrices
  • Matrix Factorization (LU Decomposition)
  • Applications to Computer Graphics

 

Determinants

  •  Properties to Determinants
  • Cramer’s Rule, Volume, and Linear Transformations

 

Vector Spaces 

  • Vector Spaces and Subspaces
  • Null Spaces, Column Spaces, Row Spaces and Linear Transformations
  • Linearly Independent Sets; Bases
  • Coordinate Systems
  • The Dimension of a Vector Space
  • Rank
  • Change of Basis
  • Applications to Markov Chains

 

Eigenvalues and Eigenvectors

  • Eigenvectors and Eigenvalues
  • The Characteristic Equation
  • Diagonolization
  • Eigenvectors and Linear Transformations
  • Complex Eigenvalues

 

Orthogonality and Least Squares

  •  Inner Product, Length, and Orthogonality
  • Orthogonal Sets
  • Orthogonal Projections
  • The Gram-Schmidt Process and QR Factorization
  • Least-Squares Problems
  • Applications to Linear Models (Line of Regressions)
  • Inner Product Spaces

 

Symmetric Matrices and Quadratic Forms

  • Diagonalization of Symmetric Matrices
  • Quadratic Forms

Complex Numbers:

 

Tomorrow Never Waits!
Contact  Us Now.

Gives confidence to your child to cope up with                              academic challenges.

Fields marked with * are required.

Call us at

647-426-6329
or fill the form 
we will contact you as early as possible.