Course Archives    Theoretical Statistics and Mathematics Unit
Course: Algebra II
Time: Currently not offered
Level: Undergraduate
Syllabus
Past Exams


Syllabus (Linear Algebra): Matrices and determinants. Linear equations. Basics of Polynomial rings over real and complex numbers. Vector spaces over fields. Bases and dimensions. Direct sums and quotients of vector spaces. Linear transformations and their matrices. Eigenvalues and eigen vectors. Characteristic polynomial and minimal polynomial. Bilinear forms, inner products, symmetric, hermitian forms. Unitary and normal operators. Spectral theorems.

Evaluation:
Midterm Exam marks
Assignment marks
Final Exam marks
Total 100 marks


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Past Exams
Midterm
05.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf
Solution
13.pdf 14.pdf 15.pdf 18.pdf 19.pdf
Semestral
03.pdf 05.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf
Solution
18.pdf
Supplementary and Back Paper
03.pdf 11.pdf 12.pdf 15.pdf 16.pdf 17.pdf 17S.pdf 18.pdf 19.pdf

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[ Semester Schedule ][ SMU ] [Indian Statistical Institute]