Subject: Subject Sylbus: Algebra 2M - 104038 (Current)

Algebra 2M - 104038
Credit
Points
2.5
 
Given In
Semester
b
 
  Lecture Exercise Laboratory Project or
Seminar
House
Work
Weekly
Hours
2 1      

Determination of the grade according to progress during the semester and a final examination.


Prerequisites ( Algebra 1/Extended 104016
and Differential and Integral Calculus 1T 104036 )
or ( Algebra 1/Extended 104016
and Calculus 1M 104031 )
or ( Algebra 1/Extended 104016
and Differential and Integral Calculus 1M 104018 )
or ( Algebra 1/Extended 104016
and Differential and Integral Calculus 1M1 104041 )
or ( Algebra 1/Extended 104016
and Differential and Integral Calculus 1M2 104042 )
 
Overlapping Courses Algebra B 104168
Algebra Bm 104174
Numerical Algorithms 234125


Methods for Solving Systems of Linear Equations: Norms of Vectors and Matrices, Iterative Methods. Inner Product Spaces: Cauchy-Schwarz Inequality, Orthogonal Complement and Gram-Schmidt Process, Orthogonal Projections, Orthonormal Bases, Bessel Inequality, Qr Decomposition. Operators in Inner Product Spaces: Linear Functionals, Riesz Theorem and the Adjoint Operator, Normal Operators, Self-Adjoint Operators, Unitary Operators, Positive Operators. Spectral Decomposition Theorem, Orthogonal Diagonalization, Jordan Normal Form, Polar Decomposition Theorem, Svd Decomposition, Cholesky Decomposition. Min-Max Theorem and Rayleigh Quotient. Bilinear and Quadratic Forms, Polarization Identity, Classification of Quadratic Forms Over the Reals: Matrix Congruence, Sylvester'S Law of Inertia. Tensor Calculus.


הערות
מתרגל אחראי: גאי שמש.




Times and places of examinations 01/2022 2202/2023 Winter Semester
examination timedaydateSeason
 Friday03.02.2023א
 Thursday02.03.2023ב

Timetable to semester 01/2022 2202/2023 Winter Semester
RoomBuildingHourdayLecturerExercise
Lecture
no.Registering
Group
506Ullman15:30-17:30SundayDr. Wolf AdiLecture1011
506Ullman17:30-18:30SundayMr Shemesh GuyExercise11


System of hours to the semesters
Semester Planning Semester information 02/2022 2202/3202 Spring Semester


Textbooks
PublishedPublisherAuthorsBook
2018springerpeter j. olver, chehrzda shakibanapplied linear algebra
1971prentice hallhoffman kenneth, kunze ray a.linear algebra

Created in 29/09/2022 Time 01:36:54