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MTH302 Integers, polynomials and matrices
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SESSION 2016-17 Odd Sem
MATHEMATICS
MTH302(2016-17)
Matrices over Polynomial Rings and PIDs
Modules
Modules
Study of modules via matrices especially for a PID.
Click
modules.pdf
link to view the file.
◄ Matrices over a PID
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Announcements
Introductory Notes
Basic definitions
Assignment 1
Solutions to Assignment 1
Solutions to Quiz 1
Rings of Matrices
Different types of elements
Solving Equations
Assignment 2
Solutions to assignment 2
Solutions to Quiz 2
Variables, Constants, Polynomials and Functions
Assignment 3
Solutions to Assignment 3
Notes on Finite Abelian Groups
Assignment 4
Matrices and FInitely Generated Abelian Groups
Solutions to Assignment 4
First mid-semester examination and solutions
Assignment 5
Solutions to Assignment 5
Solutions to Quiz 3
Matrices over the ring of polynomials
Assignment 6
Solutions to Assignment 6
Matrices over a PID
Assignment 7
Solutions to assignment 7
Assignment 8
Solutions to Assignment 8
Primes and Factoring in a PID
Jordan Block Form for a matrix
Hensel's Lemma and Jordan decomposition
Assignment 9
Solutions to Assignment 9
Solutions to Second Mid-Sem Examination
Solutions to Quiz 4
Notes on Quadratic Forms.
Assignment 10
Solutions to Assignment 10
Solutions to Quiz 5
Notes on Orthogonal Matrices
Assignment 11
Solutions to Assignment 11
Complex numbers, Quaternions and rotations
Assignment 12
Solutions to assignment 12
Solutions to Quiz 6
Self-Adjoint and Unitary Operators
Matrix Decompositions
Spectral Theorem for Normal Operators
Assignment 13
Solutions to Assignment 13
Solutions to Quiz 7
Solution to End Semester Examination
Assignment 7 ►
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