Addition of Two Matrices Calculator
This calculator helps you add two matrices of the same dimensions by summing their corresponding elements. It’s perfect for students, engineers, and scientists working with linear algebra and matrix operations.
Matrix Addition Solver
Matrix Addition Formula
Where:
- $$A$$ and $$B$$ are matrices of size $$m \times n$$
- $$C$$ is the resulting matrix after addition
Each element of $$C$$ is obtained by adding the corresponding elements of matrices $$A$$ and $$B$$.
Addition of Two Matrices – Calculation Example
$$A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}$$
$$C = A + B = \begin{bmatrix} 1 + 5 & 2 + 6 \\ 3 + 7 & 4 + 8 \end{bmatrix} = \begin{bmatrix} 6 & 8 \\ 10 & 12\end{bmatrix}$$
Matrix addition is a fundamental operation in linear algebra, used in systems of equations, computer graphics, and data processing. It requires both matrices to have identical dimensions. Our calculator automates this process, making matrix addition fast and error-free.