Matrix Subtraction Calculator
Enter the entries of matrices A and B to compute A − B.
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
Subtracting two matrices of the same size is done element-wise: each entry in the result equals the entry in matrix A minus the entry in the same position in matrix B, so for 2×2 matrices, C₁₁ = A₁₁ − B₁₁, and so on for each of the four positions. It’s one of the most basic operations in linear algebra, alongside addition and scalar multiplication.
Students, engineers, and programmers use matrix subtraction constantly — in computer graphics to find the difference between transformation states, in statistics to compute deviations, and in control systems to measure error between a target and actual state matrix. This calculator subtracts your entered 2×2 matrices B from A and also reports the resulting matrix’s determinant (ad − bc) and trace (sum of the diagonal entries).
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