Notes on Linear Algebra

I have been taking Linear Algebra LAFF course from edX and Applications of Linear Algebra (Part 1) also from edX.

This page is for discussing what I learn, links to videos, books, web pages, articles related to linear algebra.

Useful resources for learning linear algebra:
Essence of Linear Algebra (Video playlist from 3Blue1Brown YouTube Channel)
What is the point of linear algebra? (from Reddit)
Coding the Matrix Resources (contains python scripts)

Auto-grading for Coding the Matrix (contains python scripts)
Mathematics for Machine Learning: Linear Algebra (from Coursera)
LAFF - Linear Algebra: Foundations to Frontiers (course from Edx)

Before reading anything related to linear algebra or taking courses, I would recommend you to watch all the videos from 3Blue1Brown channel on the essence of linear algebra. Again, after taking the Coursera and edX courses, if you watch the YouTube videos, you can understand linear algebra completely. 

Now I try to explain what is a simple use (or motivation for LA) of linear algebra.

Suppose, you are going to a shop on some day and by 5 apples and 10 mangoes and you pay 20 dollars and return to home. But you don't know how much each apple and mango costs. On another day (assuming the price is same) and buy 30 apples and 2 mangoes. Now you pay 15 dollars. Now also you don't know the value.  Now, using the number apples and mangoes you bought each time, and knowing how much those costed, you can calculated the cost of each apple and each mango.

You may ask "How"?

The answer is "Using Linear Algebra".

What you have to do is that you consider apple as x (or any alphabet you want) and mango as y you can construct an equation as follow.

"\begin{pmatrix} x & y \\ z & v \end{pmatrix}"

In math mode:
(5 10) (x)
                  =  (20, 15)
(30 2) (y) 

If you solve this linear equation, you will get the price of apple and mango.