Basic Knowledge of Mathematics behind PCA. The Logic behind Principle Component Analysis is to reduce the dimensionality of data sets .

The Logic behind Principle Component Analysis is to _reduce the dimensionality _of data sets . There are so many features or columns in our datasets which are not much helpful in prediction as well as they don’t have much knowledge about the data due to which model take much time to compute and predict the result. So with the help of PCA we are going to transform a new set of features which are uncorrelated as well as ordered.

For Understanding the maths Behind PCA we have some Knowledge about the term which we are going to use to reduce the dimensionality.

- Mean
- Variance
- Covariance
- Linear Transformation
- EigenValue
- EigenVector

The Mean is the most basic quantity in statistics.The means tell us where the measurement are centered.

Let there is a columns X in which we have record of weight of 10 students.

{ a1 ,a2 ,a3…….a10 }

**μA = 1/n(a1 +...+a10)**

In variance we understand how spread out are the measurements ?

In this we calculate each difference from the mean and Square of it and then take average of it , gives us the variance.

Var(A)= 1/n (a1 −μA)2 +…….+(an −μA)2

Data science is omnipresent to advanced statistical and machine learning methods. For whatever length of time that there is data to analyse, the need to investigate is obvious.

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DISCLAIMER: absolutely subjective point of view, for the official definition check out vocabularies or Wikipedia. And come on, you wouldn’t read an entire article just to get the definition.

Suppose you are looking to book a flight ticket for a trip of yours. Now, you will not go directly to a specific site and book the first ticket that you see.