Subject: Subject Sylbus: Algebra Bm - 104174 (Current)

Algebra Bm - 104174
Credit
Points
3.5
 
Given In
Semester
a+b
 
  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 timedaydateSeason
 Monday21.02.2022א
 Tuesday15.03.2022ב

Timetable to semester 01/2021 2021/2022 Winter Semester
RoomBuildingHourdayLecturerExercise
Lecture
no.Registering
Group
  10:30-11:30SundayLecture1011
  09:30-11:30Tuesday
  11:30-12:30Sunday Exercise11


System of hours to the semesters
Semester Previous Semester information 02/2020 2020/2021 Spring Semester

Created in 23/09/2021 Time 17:30:20