The course covers concepts of Linear Algebra essential for a student of engineering background.
One with a great knowledge on Linear Algebra, going forward can easily understand concepts of vectors which is extensively used in various fields in the form of data sets which include likes of -
1. macro and micro mechanics of objects such as calculating projectile motions,
2. statistical inferences by medical researchers etc.
4. Heat Transfer, Thermodynamics concepts to understand various advanced concepts.
4. Even in computer programming and research, linear algebra plays a part in the forms such as 1-D arrays. 2-D arrays
5. Signal Analysis, design computer graphics using curves such as Bezier curves etc.
6. Advances use of eigne vectors is used for component analysis such as facial recognition
In this course we cover following:
The basics of matrices such as Determinant and its properties, Inverse of matrix etc are explained in section 1.
Once student is familiarized with basics, Concept - System of Equations is explained. Then comes Eigen values and vectors and finally followed by LU decomposition and related explanations.
14 problems of different model each are covered for benefit of students involving almost all the concepts of matrices covered in the course.
To make course a bit interactive, 2 quizzes are also included to test yourself.