Subject: Subject Sylbus: Linear Algebra 2 - 104173

Linear Algebra 2 - 104173
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: Algebra Bm 104174
 
Incorporated Courses: Linear Algebra 2 104171
 
Incorporating Courses: Algebra B 104168


Review on Direct Sums and Representing Matrices. Adjoint Matrix. Invariant Subspaces of a Linear Operator. the Minimal Polynomial. Proof of Cayley Hamilton Theorem. Primary Decomposition. Nilpotent Operators and Nilptency Index. Jordan'S Canonical Form, Matrix Similarity. Inner Product Spaces. the Orthogonal Supplement. Gran-Schmidt Process. the Adjoint Operator. Self Adjoint Operator. Orthogonal Projections. Unitary Operators, Isometries. Normal Operators. Spectral Decomposition and Orthogonal Diagonalization. Positive Operators Ans the Polar Decomposition Theorem. Linear Functional and the Dual Space. Bilinear and Quadratic Forms. Congruent Matrices. Tensor Product.


Created in 23/09/2021 Time 17:25:59