Symmetric and Skew Symmetric matrix - Hermition and skew Hermition matrices-Orthogonal and Unitary matrices: Rank of matrix-Eigen values and Eigen vectors of linear operators – Cayley Hamilton Theorem - Solutions of Homogeneous linear equations, Solutions of non-homogeneous linear equations
Elementary basic concepts, linear independence bases
Inner product spaces.
Algebra of linear transformations - Characteristics roots
Characteristic polynomials and minimal polynomials, Diagonalizability – Jordan Canonical forms (Simple Problems only).
Reference Book:
1. A First Course in Linear Algebra Aloknath charabarti, Vijay Nicole Imprints Pvt.Ltd-2006.
Text Book:
1. R.Balakrishnan and M. Ramabadran. – “A Text Book of Modern Algebra”.Vikas Pub; Revised, Subsequent edition (1 January 1986), New Delhi. ISBN-13 : 978-0706929652 Unit I: Chapter 1: Sections: 1.8-1.9., Chapter 2: Sections: 2.9., Chapter 3: Sections 3.6-3.8. 2. I.N. Herstein” Topics in Algebra” 2010.John Wily & Sons,ISBN: 978– 81-265-1018-4 Unit II: Chapter 4: Sections: 4.1, 4.2., Unit III: Chapter 4: Sections: 4.4. Unit IV: Chapter 6: Sections: 6.1, 6.2. 3. Kenneth Hoffman, Ray Kunze “Linear Algebra” Second Edition, PHI, Seventh Printing July 2001. Unit V: Chapter 6: Sections: 6.1, 6.2
