Course: MAT 211 2.0 Linear Algebra II (Compulsory)
Course Content:
Eigenvalues, Eigenvectors and Canonical Forms; Eigen values and Eigenvectors, Eigenvectors and bases for Eigen spaces, Eigenvalues and Invertibility, Similar Matrices and Diagonalization; Procedure for diagonalizing a matrix, Non-digonalizable matrices, Similar matrices and Orthogonal Diagonalization, Computing Powers of a Matrix, Eigenvalues of Powers of a matrix, Geometric and Algebraic Multiplicity, Jordan Canonical Form; Inner Product Spaces; Examples of Inner product Spaces, Algebraic Properties of Inner product Spaces, Gram-Schmidt Orthonormalization Process ,Quadratic Forms; Expressing Quadratic Forms in Matrix Notation and Conic sections
Recommend Readings:
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- Elementary Linear Algebra –Applications Version by H. Anton and C. Rorres, Wiley, 10th edition, 2010.
- “Elementary Linear Algebra” by Stanley I. Grossman, Saunders College Publishing.
- “Linear Algebra” by J. B. Fraleigh and R.A. Beauregard, Addison Wesley, 3rd edition, 1995.