Linear algebra is a widely used branch of mathematics. Linear algebra is a part of discrete mathematics and not of continuous mathematics. A good understanding is needed to understand the machine learning and deep learning models. We will only revise the mathematical objects.
A scalar is just a single number (as opposed to a large portion of alternate objects examined in linear algebra, which are generally arrays of various numbers).
A vector is an organized collection or an array of numbers. We can recognize every individual number by its index in that list. For example:
x = [x1, x2, x3, x4 ..... xn]
Vectors can also be thought of as identifying points in space.
Each element represents the value of coordinate along a different axis.
We can also index the positions of these values in the vector. Therefore, it makes it easier to access the specific value of the array.