Revisiting linear algebra
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 gist of scalars
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 brief outline of vectors
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.
The importance of matrices
A matrix is a two-dimensional array...