How to Subtract Two Matrices ?

In this article, you will get aware about how to subtract one matrix from another. Let's suppose that there are two given matrix, matrix A and Matrix B. The value of Matrix A is:

5  6
7  8

And the value of Matrix B is:

1  2
3  4

Then its subtraction goes like:

matrix subtraction

So we have another matrix, matrix C. The value of matrix C is:

4  4
4  4

This is the subtraction of two given matrix A and B.

Condition for Matrix Subtraction

In order to define the subtraction of two matrices, dimension must be same. That is, if there are 3 rows and 4 columns available in a matrix say A, then to subtract it with another matrix say B. Matrix B must have 3 rows and 4 columns in order to define its subtraction with matrix A.

Further Explanation on Matrix Subtraction

As already told, for the matrix subtraction, there should be an equal number of rows and columns. A null matrix is produced when a matrix is subtracted from itself, or when A - A = O.

Matrix subtraction is the addition of a matrix's negative to another matrix, i.e., A - B = A + (-B). The relevant elements are also subtracted in order to subtract matrices.

Given A and B matrices as follows and find A-B. The Matrix A =

And the Matrix B =

Simply subtracting the matching elements from matrices A and B will provide the answer, in this way.

So the value of Matrix A - Matrix B will be:

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