Linear Algebra 2  104173





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. GranSchmidt 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