Subtraction of Matrices
What are the Rules for Subtracting Matrices?
The rules for subtracting matrices are:
- The matrices should be of equal dimensions.
- Each element of one matrix should be subtracted from corresponding element of other matrix.
Can You Subtract 2 × 2 Matrix from a 3 × 3 Matrix?
No, we cannot subtract 2 × 2 matrix from a 3 × 3 matrix as dimensions are not same.
How to Do Subtraction of Two Matrices?
To subtract two matrices, we subtract xij element of first matrix with yij of second matrix. This process is done for all the elements of the matrices.
Is Matrix Subtraction Associative?
No, matrix subtraction is not associative.
Is Matrix Subtraction Commutative?
No, matrix subtraction is not commutative.
Subtraction of Matrices
Subtraction of matrices is addition of the negative of a matrix to another matrix which means A – B = A + (-B). The subtraction of the matrix is subtracting the corresponding row-column element of one matrix with same row-column element of another matrix.
In this article we will explore subtraction of matrices in detail. We will also solve some examples related to subtraction of matrices. Let’s start our learning on the topic “Subtraction of Matrices.”
Table of Content
- What is Subtraction of Matrices?
- Subtraction of n × n Matrices
- Subtraction of 2 × 2 Matrices
- Subtraction of 3 × 3 Matrices
- Solved Examples on Subtraction of Matrices