What is Matrix Subtraction?
As we add two or more matrices in the same way we can subtract two matrices, if they are square matrices of the same order. Matrix addition is similar to matrix subtraction, we can assume that matrix subtraction is the addition of one matrix with the additive inverse of the second matrix.
If we have two matrices A and B the subtraction of A and B can be understood as, the addition of A and (-B), i.e.
A – B = A + (-B)
For further understanding study the following example,
Example: Let A and B be 2×2 matrices, where and then find A – B.
Solution:
Given,
Now, A – B = A + (-B)
Let’s compute A + (-B).
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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