Matrix Addition & Subtraction Calculator

Add, subtract matrices, and perform scalar multiplication with step-by-step solutions.

Operation
Matrix A
×
One row per line, space separated
Matrix B
One row per line, space separated
Quick Examples
Result
Select an operation and enter matrices to see the result.
📋 Computation Steps
Detailed computation steps will appear here.
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Matrix Addition & Subtraction: FAQ

How do you add and subtract matrices?

Addition and subtraction are element‑wise and require the same dimensions. For result C, ci,j = ai,j ± bi,j. Addition is commutative and associative.

What is scalar multiplication and a linear combination?

Scalar multiplication multiplies each entry by a constant c. Linear combinations have the form aA + bB with matching dimensions, fundamental for many linear algebra applications.

What sizes are supported?

This tool supports matrices up to 10×10 and shows element‑wise steps for A+B, A−B, cA, and aA+bB.

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