Solved Problems on Matrix Addition
Problem 1: Perform the addition of the following matrices:
and
Solution:
To add matrices A and B, we need to add the corresponding elements of each matrix.
A + B =
Therefore, the sum of matrices A and B is
Problem 2: Given the matrices:
and
Calculate the sum of matrices X and Y.
Solution:
To add matrices X and Y, we add the corresponding elements of each matrix.
Therefore, the sum of matrices X and Y is
Problem 3: For matrix P and Q given as follows:
Compute the sum of matrices P and Q.
Solution:
P + Q =
Therefore, the sum of matrices P and Q is
Matrix Addition
Matrix Addition as the name suggests in the article, explores the addition of matrices and it is one of the fundamental operations in the field of Linear Algebra.
Matrix Addition is very useful in various fields such as data analysis, computer graphics, image processing, cryptography, operations research, machine learning, artificial intelligence, etc. In this article, we will explore the concept of Matrix Addition, including its properties and solved examples as well.
Table of Content
- Matrix Definition
- What is Matrix Addition?
- Properties of Matrix Addition
- What is Matrix Subtraction?
- Solved Problems
- FAQs