Back close

Course Detail

Course Name Linear Algebra
Course Code 15MAT202
Program B. Tech. in Aerospace Engineering
Semester Three & Five
Year Taught 2019

Syllabus

Unit 1

Vector Spaces: Vector spaces – Sub spaces – Linear independence – Basis – Dimension – Inner products – Orthogonality – Orthogonal basis – Gram Schmidt Process.

Unit 2

Change of basis – Orthogonal complements – Projection on subspace – Least Square Principle. Linear Transformations: Positive definite matrices – Matrix norm and condition number – QR – Decomposition

Unit 3

Linear transformation – Relation between matrices and linear transformations – Kernel and range of a linear transformation – Change of basis – Nilpotent transformations – Similarity of linear transformations – Diagonalisation and its applications – Jordan form and rational canonical form.

Text Books

  1. Howard Anton and Chris Rorres, “Elementary Linear Algebra”, Tenth Edition, John Wiley & Sons, 2010.

Resources

  • Gilbert Strang, “Linear Algebra and Its Applications”, Fourth Edition, Cengage, 2006.
  • Kenneth Hoffmann and Ray Kunze, Linear Algebra, Second Edition, Prentice Hall, 1971.

DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.

Admissions Apply Now