COURSE SUMMARY
Course Title: 
Linear Algebra
Course Code: 
15MAT202
Year Taught: 
2015
2016
2017
2018
Semester: 
3
5
Degree: 
Undergraduate (UG)
School: 
School of Engineering
Campus: 
Coimbatore

'Linear Algebra' is a course offered for the of  B. Tech. programs at the School of Engineering, Amrita Vishwa Vidyapeetham.

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.

  • Howard Anton and Chris Rorres, “Elementary Linear Algebra”, Tenth Edition, John Wiley & Sons, 2010.
  • Gilbert Strang, “Linear Algebra and Its Applications”, Fourth Edition, Cengage, 2006.
  • Kenneth Hoffmann and Ray Kunze, Linear Algebra, Second Edition, Prentice Hall, 1971.