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Course Detail

Course Name Linear Algebra
Course Code 15MAT202
Program B. Tech. (Bachelor of Technology) 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.

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