MA20107: Matrix Algebra
| MA20107 | |||||||||||||||||||||||||||||
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| Course name | Matrix Algebra | ||||||||||||||||||||||||||||
| Offered by | Mathematics | ||||||||||||||||||||||||||||
| Credits | 3 | ||||||||||||||||||||||||||||
| L-T-P | 3-0-0 | ||||||||||||||||||||||||||||
| Professor(s) | Rajnikant Pandey; Ramkrishna Nanduri | ||||||||||||||||||||||||||||
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| Semester | Autumn | ||||||||||||||||||||||||||||
Syllabus
Syllabus mentioned in ERP
Prerequisite: voidGram-Schmidtâs orthogonalization, row and column spaces, rank and trace and their properties, QR decomposition, linear systems, symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal, unitary matrices and their properties, generalized inverse, Moore-Penrose inverse, minimum-norm ginverse, idempotent matrix, projection matrices, quadratic forms, positive definite, non-negative definite, negative definite matrices and their properties, LDU, UDU and Cholesky decompositions, matrix differentiation, eigenvalues and eigenvectors â properties for various type of matrices, singular value decomposition, diagonalization, simulataneous diagonalization, extrema of quadratic forms, least square theory and Gauss-Markoff theorem.
Concepts taught in class
Student Opinion
How to Crack the Paper
Take note of all the material given in class. Understand proofs and practise problems. To stay on safe side buy a 4*4 matrix enabled calculator.
Classroom resources
MATRIX AND LINEAR ALGEBRA (Prof K.B. Dutta)- Only available in library and maybe Tech-Market or College Street. (Out of print and unavailable online).
Additional Resources
Time Table
| Day | 8:00-8:55 am | 9:00-9:55 am | 10:00-10:55 am | 11:00-11:55 am | 12:00-12:55 pm | 2:00-2:55 pm | 3:00-3:55 pm | 4:00-4:55 pm | 5:00-5:55 pm | |
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| Monday | NC142 | NC142 | ||||||||
| Tuesday | NC142 | |||||||||
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| Friday |