Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Online Course

Linear Algebra

Indian Institute of Science Bangalore and NPTEL via Swayam

(0)
62

Taken this course? Share your experience with other students. Write review

Overview

Linear Algebra is a foundational subject in Mathematics which is of fundamental importance in the development of almost every branch of Mathematics, Theoretical Physics and Computer Science. A good understanding of the subject is also crucial to the study of most Engineering disciplines and many problems in Social Sciences. Linear Algebra can be succinctly described as the study of Linear Transformations and its algebraic properties. This course is an introduction to Linear Algebra

INTENDED AUDIENCE : Undergraduate students in various universities.PREREQUISITES : NilINDUSTRY SUPPORT : Almost all engineering based companies

Syllabus

COURSE LAYOUT

Week 1 : Vectors, vector spaces, span, linear independence, basesWeek 2 : Dimension, linear transformationsWeek 3 : Null spaces, range, coordinate basesWeek 4 : Matrix multiplication, Invertibility, IsomorphismsWeek 5 : Coordinate change, products and quotients of vector spaces, dualityWeek 6 : Review of elementary row operations, rank, determinantsWeek 7 : Eigenvalues, EigenvectorsWeek 8 : DiagonalizationWeek 9 : Characteristic polynomials, inner products and normsWeek 10 : Orthogonal bases, orthognalization, orthogonal complementsWeek 11 : Adjoints, normal and self-adjoint operatorsWeek 12 : Spectral theorem for normal and self-adjoint operators

Reviews for Swayam's Linear Algebra Based on 0 reviews

  • 5 star 0%
  • 4 star 0%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

Did you take this course? Share your experience with other students.

Write a review

Class Central

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free

Never stop learning Never Stop Learning!

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free