Properties of Correlation Matrix in R

• All the diagonal elements of the Correlation Matrix in R must be 1 because the correlation of a variable with itself is always perfect, c_ii=1.
• It should be symmetric c_ij=c_ji.

Correlation refers to the relationship between two variables. It refers to the degree of linear correlation between any two random variables. This Correlation Matrix in R can be expressed as a range of values expressed within the interval [-1, 1]. The value -1 indicates a perfect non-linear (negative) relationship, 1 is a perfect positive linear relationship and 0 is an intermediate between neither positive nor negative linear interdependency. Hoindependent of each other completely. Correlation Matrix in R computes the linear relationship degree between a set of random variables, taking one pair at a time and performing for each set of pairs within the data.