MATLAB is a high-performance programming tool used to perform a variety of mathematical and numerical tasks. One such task is finding the percentage of similarity between two matrices, which can be useful in a variety of applications, such as machine learning, data analysis, and image processing.
In this article, we will discuss how to find the percentage of similarity between two matrices and provide some examples to illustrate the steps involved.
What is the Percentage of Similarity Between Two Matrices?
The percentage of similarity between two matrices is a measure of how similar the two matrices are and it is calculated by dividing the number of elements that are equal in both matrices by the total number of elements in the two matrices.
For example, if two matrices have 10 elements and 6 of those elements are equal, then the percentage of similarity between the two matrices is 60%.
How to Compute the Percentage of Similarity Between Two Matrices?
When we deal with very large matrices, it becomes difficult for us to manually check how much two matrices are the same. However, MATLAB provides us with an easy and convenient method that finds the percentage of similarity between two matrices. The steps to execute this method are given below:
Step 1: First, declare two matrices that you want to compare.
Step 2: Perform the equality comparison between matrices using the == operator and store the resultant Boolean values in a variable.
Step 3: Use the sum() function to count the number of equal elements in two matrices.
Step 4: Compute the percentage of similarity between two matrices using the given formula:
Note: Keep in mind that, we can compare two matrices if they have the same size.
Examples
The given examples will practically execute the above steps and will determine the percentage of similarity between two matrices.
Example 1: Computing the Percentage of Similarity Between Two Square Matrices?
In this example, we compute the percentage of similarity between two given square matrices A and B by following the above given steps.
cols = 1000;
A = eye(1000);
B = zeros(1000);
similar_elements = A==B;
count_sim_elems = sum(similar_elements(:));
similarity_percentage = count_sim_elems/(rows*cols)*100
Example 2: Computing the Percentage of Similarity Between Two Rectangular Matrices?
This example calculates the percentage of similarity between two given rectangular matrices A and B by following the above-given steps.
cols = 5;
A = [1:2:10;3:4:20];
B = [1:5; 4:4:20];
similar_elements = A==B;
count_sim_elems = sum(similar_elements(:));
similarity_percentage = count_sim_elems/(rows*cols)*100
Conclusion
Finding the percentage of similarity between two matrices can be done by comparing the two matrices using the == operator and then using the sum() function to count the number of equal elements. After that, you can use the similarity formula to compute the percentage of similarity between two matrices. You will find a complete guide to find the percentage of similarity between two matrices in this tutorial.
