Matrix Subtraction Calculator

Easily subtract two matrices of the same dimensions to find their difference. Enter your matrices below to get started!

Matrix A

Enter the values for Matrix A:

Matrix B

Enter the values for Matrix B:

Result: Difference Matrix (A - B)

Understanding Matrix Subtraction

Matrix subtraction is a fundamental operation in linear algebra where you find the difference between two matrices of the same dimensions. To subtract matrices, you simply subtract the corresponding elements of the second matrix from the first. For example, if you have two matrices A and B, their difference C = A - B is calculated by subtracting each element B_ij from the corresponding element A_ij. This operation is crucial in various fields like computer graphics, data analysis, and engineering for tasks ranging from image processing to solving systems of linear equations.

For instance, if A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], then A - B = [[1-5, 2-6], [3-7, 4-8]] = [[-4, -4], [-4, -4]].

Definition: Subtracting corresponding elements of two matrices of the same size.
Condition: Matrices must have identical dimensions (same number of rows and columns).
Result: A new matrix of the same dimensions containing the differences.

Learn more about matrix subtraction on Wikipedia.