Applied Linear Algebra (MAT3004)
Credits : 4
NOTE:
Algebra subjects in VIT are quite scary, aren’t they? Well not anymore. Here is a simplest and the best guide to study the subject - Application of Linear Algebra.
The whole syllabus is covered over 7 modules, let us discover the best resources to study each of these modules.
Module 1: System of Linear Equations
Study this module from the book provided in the following link.
https://drive.google.com/file/d/1aOve6rxxbEpGEoWQNnfdlEPAIngersQP/view?usp=sharing
This book has exactly the same topics, as mentioned in the official syllabus on Vtop. It can even be said that the syllabus is inspired from this book. This book explains the “why”, of every concept and give you upper edge since you don’t need to memories anything.
Notes - Click Here
Along with this, I suggest you have a look at this online matrix calculator.
This will help you cross check you answer while practicing.
Module 2: Vector spaces.
Same resources as above.
It’s the best resource to understand the terminologies used in these chapters. Try to solve the examples mentioned in the book.
Notes - Click Here
Module 3: Subspace Properties
Same resources as above.
The book will clear all your concepts regarding the first 3 modules.
Notes - Click Here
Additional if you finish all this and require more question to solve, I suggest you go through these notes.
https://drive.google.com/file/d/1kSDeRHTCHinTMPHq7KfCQjiNDITFrpez/view?usp=sharing
Module 4: Linear transformation and Applications
For the next few modules the name of the game is SJT notes. These are notes made by some Vitian, and they cover every topic in details with many solved examples.
The majority of the people find these modules a bit confusing, however, reading these notes will give you an edge over everyone else.
Notes - Click Here
These are also available in printed version, in the printing shops in VIT.
https://drive.google.com/file/d/1R2tFAeVyZBKFBS-sWqAhxBT_fsU3Zdea/view?usp=sharing
Module 5: Inner Product Space
Same resources as above.
Module 6: Applications of Inner Product spaces.
Same resources as above.
Module 7: Application of Linear Equations.
This module tends to differ in topics asked from year to year, a suggestion to work closely with your faculty.
Here is a good resource to understand the encryption and decryption.
https://drive.google.com/file/d/1wF2nn_eydrZPO_0ImkTOFqZbTUbocroV/view?usp=sharing
Lastly, paying close attention in class, it will fare of very well in the long run. If you pay attention, trust me, knowingly or unknowingly you will develop a better understanding of the concepts.