Algebra Bm  104174





Lecture 
Exercise 
Laboratory 
Project or Seminar 
House Work 
Weekly Hours 
3 
1 




Determination of the grade according to progress during the semester and a final examination.
Prerequisites:
    Algebra a 
104066
 

or
   Algebra Am 
104166
 

Overlapping Courses:
    Linear Algebra 2 
104173
 

Incorporated Courses:
    Linear Algebra 2 
104171
 

Incorporating Courses:
    Algebra B 
104168
 
Direct Sums and Matrix Representation  Revision. the (Classical) Adjoint Matrix. Invariant Subspaces and Restriction of a Linear Operator. the Minimal Polynomial and Cayley  Hamilton Theorem. Primary Decomposition Theorem. Nilpotent Operator and the Index of Nilpotency. Jordan Canonical Form and Matrix Similarity Over the Field of Complex Numbers. Inner Product Spaces. Orthogonal Complement and Gram  Schmidt Process. the Adjoint of An Operator and Self Adjoint  Operator. Orthogonal Projections. Unitary Operators and Isometries. Normal Operators. Spectral Decomposition and Orthogonal Diagonalization. Positive Definite Operators and Polar Decomposition. Linear Functionals and the Dual Space. Bilinear Forms and Quadratic Forms. Congruence of Matrices. the Determinant as a Volume Form. Additional Topics as Time Permits.
הערות


לא מיועד לסטודנטים ממתמטיקה.

Times and places of examinations
01/2021
2021/2022 Winter Semester
examination time  day  date  Season 

 Monday  21.02.2022  א 
 Tuesday  15.03.2022  ב 
Timetable to semester 01/2021
2021/2022 Winter Semester
Room  Building  Hour  day  Lecturer  Exercise Lecture  no.  Registering Group 

  10:3011:30  Sunday   Lecture  10  11 
  09:3011:30  Tuesday 
  11:3012:30  Sunday   Exercise  11 
Created in 23/09/2021 Time 17:30:20