Exams¶
The course has two exams one is internal of 15 marks, while the other is final worth 70 marks. Rest marks are part of continuous assesment that belongs to attendence, seminar and assignments.

Unit I
 Gaussian Elimination (Problems)
 Matrix of Linear Transformation (Theorem + Proof + Problems)

Unit II
 Hermitian, Skew Hermitian and Unitary Matrix (Definition + Examples + Related Theorems)
 Inner Product Space (Definition + Problems)
 GramSchmidt Orthogonalization (Theorem + Problems)
 Selfadjoint operators

Unit III
 Similar Matrices (Definition + Problems)
 Invariant Subspace (Definition + Problems + Related Theorems)
 Triangulizaton (Defintion + Condition of Trinagulization)
 Nilpotent Transformation (Defintion + Example)
 Primary Decomposition Theorem (Statement + Proof + Problems)
 Jordan Form of Matrix (Problems)
 Rational Form of Matrix (Problems)

Unit IV
 Bilinear Form (Defintion + Problems)
 Algebra of bilinear forms (Statement + Proof)
 Degenerate and Nondegenerate bilinear forms (Defition + Problems)
 Alternating Forms (Defition + Problems)

Unit V
 Symmetric and SkewSymmetric bilinear forms (Definition + Problems + Related Theorems)
 Quadratic Form (Defintion + Problems)
 Sylvester's Theorem (Statement + Proof + Problems)
 Invariants of quadratic forms (Defintion + Problems)
1. Internal Exam¶
To download the question of last internal exam click here.
2. Final Exam¶
Final exam divided in three groups. The questions are organized in three groups as follows:
Group  No of Questions  Marks per Question  Total 

A  10/10  2  20 
B  04/05  5  20 
C  03/05  10  30 
Last modified on: 20230104 00:13:27