Linear Algebra

Linear Algebra

Code: ICE-1002
Semester: 1st
Type: Compulsory
Direction:

P1-1020
1st
Compulsory

Course hours:
Instructors:

Links:

2 Lec – 2 T
Stavros Fatouros (Faculty), Konstantinos Barlas (Laboratory Technical Staff)

Description

Course Content:

  • Vectors, Matrices, operations with vectors and matrices, Linear independence.
  • Vector Spaces, Subspaces, Orthogonal Vectors
  • Base of a Vector Space, Orthonormal Base
  • Euclidean Vector Space , Cauchy–Schwarz inequality
  • Orthogonal Bases and Gram-Schmidt, Orthogonal Projection
  • Change of Base in a Vector Space
  • Linear Transformations – Linear Systems of equations
  • Eigenvalues and Eigenvectors
  • Homogeneous coordinates
  • General equation of the second degree – invariant, tangent line and tangent plane.
  • Projection matrices and least squares