Matrix Subtraction Calculator
Subtract Matrix B from Matrix A entry by entry
2x2 Matrix
3x3 Matrix
Subtract Matrices
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Matrix Subtraction Formula
Matrix subtraction is an entrywise operation. The entry in each result position is found by subtracting the matching entry of Matrix B from Matrix A.
⚠ Matrix subtraction is defined only when both matrices have the same dimensions. This page supports 2x2 and 3x3 matrices.
How Matrix Subtraction Works
Matrix subtraction compares two matrices of the same shape. It is useful for residuals, updates, and differences between two linear algebra objects.
Entrywise Difference
Each c_ij uses only a_ij and b_ij.
Order Matters
A-B is generally not the same as B-A.
Same Dimensions
The two matrices must match in size.
Residuals
Subtraction is used to compute error matrices.
Example: For A = [[1,2],[3,4]] and B = [[5,6],[7,8]], A-B = [[-4,-4],[-4,-4]].
Applications of Matrix Subtraction
Residual Matrices
Error Analysis
Model Updates
Linear Algebra
Data Comparison
Frequently Asked Questions
What is a matrix subtraction calculator?▼
It computes A-B by subtracting each entry of Matrix B from the matching entry of Matrix A.
What is the matrix subtraction formula?▼
For C = A - B, each entry is cij = aij - bij.
How do I use this matrix subtraction tool?▼
Enter Matrix A and Matrix B, choose 2x2 or 3x3, and calculate to see A-B.
Can matrices of different sizes be subtracted?▼
No. Subtraction requires both matrices to have the same dimensions.
Where is matrix subtraction used?▼
It is used to measure residuals, differences between transformations, error matrices, and model updates.
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