Скачать или смотреть Calculate the Diagonal Difference in a Matrix

Discover how to compute the `difference of diagonal sums` in a matrix with our step-by-step guide. Learn through examples!
---
This video is based on the question https://stackoverflow.com/q/69387735/ asked by the user 'Ch Divya sree' ( https://stackoverflow.com/u/12451609/ ) and on the answer https://stackoverflow.com/a/69387783/ provided by the user 'JK97Tae' ( https://stackoverflow.com/u/16546123/ ) at 'Stack Overflow' website. Thanks to these great users and Stackexchange community for their contributions.

Visit these links for original content and any more details, such as alternate solutions, latest updates/developments on topic, comments, revision history etc. For example, the original title of the Question was: Printing the difference of sum of diagonal elements (left - right and right - left)

Also, Content (except music) licensed under CC BY-SA https://meta.stackexchange.com/help/l...
The original Question post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license, and the original Answer post is licensed under the 'CC BY-SA 4.0' ( https://creativecommons.org/licenses/... ) license.

If anything seems off to you, please feel free to write me at vlogize [AT] gmail [DOT] com.
---
Calculate the Diagonal Difference in a Matrix: A Simple Guide

When working with matrices in programming, one common problem is to find the difference between the sums of its diagonal elements. This task may appear simple at first, but it often stumps beginners when they encounter matrices of different sizes or don’t know the proper indexing. In this guide, we will walk you through the solution for calculating the difference between the sums of the left diagonal and right diagonal of a square matrix.

Understanding the Problem

Given a square matrix, the task is to calculate the sums of its two diagonals:

Left Diagonal (Primary Diagonal): This diagonal runs from the top left corner to the bottom right corner of the matrix.

Right Diagonal (Secondary Diagonal): This diagonal runs from the top right corner to the bottom left corner.

Objective: Print the absolute difference between the sums of these two diagonals.

Example

Consider the following 3x3 matrix:

[[See Video to Reveal this Text or Code Snippet]]

Left Diagonal Elements: 11, 5, -12 (Sum: 11 + 5 - 12 = 4)

Right Diagonal Elements: 4, 5, 10 (Sum: 4 + 5 + 10 = 19)

The output would be |4 - 19| = 15.

Step-by-Step Solution

We will break down the solution into clear, digestible steps.

Step 1: Input the Matrix

First, we need to get the size of the matrix n from the user, followed by the elements of the matrix. Here's how you can do it:

[[See Video to Reveal this Text or Code Snippet]]

Step 2: Initialize Sum Variables

Before we start calculating the sums, initialize variables for storing the sums of both diagonals:

[[See Video to Reveal this Text or Code Snippet]]

Step 3: Calculate Left Diagonal Sum

Using a loop, calculate the sum of the left diagonal elements:

[[See Video to Reveal this Text or Code Snippet]]

Step 4: Calculate Right Diagonal Sum

Similarly, calculate the sum of the right diagonal elements using a different index:

[[See Video to Reveal this Text or Code Snippet]]

Step 5: Calculate and Print the Result

Finally, compute the absolute difference between the two sums and print the result:

[[See Video to Reveal this Text or Code Snippet]]

Full Code Example

Here's the complete code that implements the above logic:

[[See Video to Reveal this Text or Code Snippet]]

Conclusion

Finding the diagonal difference in a matrix is a fundamental exercise that enhances your understanding of matrix indexing and summation in programming. We hope this step-by-step guide has helped clarify the process for you. Don't forget to try different matrices to reinforce your skills!

Happy coding!