# Matrix addition calculator

# Matrix addition calculator

### Matrix addition calculator:

To add two matrices, they must have the same dimensions. For example, if Matrix A is 3×3, then Matrix B must also be 3×3. To add the matrices, simply add the corresponding elements of each matrix together.

**Let’s say we have two matrices:**

A = [2 4 6] B = [1 3 5]

[8 10 12] [7 9 11]

[14 16 18] [13 15 17]

**To add these matrices, we simply add the corresponding elements of each matrix together:**

A + B = [2+1 4+3 6+5] [3 7 11]

[8+7 10+9 12+11] [15 19 23]

[14+13 16+15 18+17] [27 31 35]

**So the resulting matrix is:**

[3 7 11]

[15 19 23]

[27 31 35]

## Matrix addition

Matrix addition is an operation where two matrices of the same size are added together element-wise to produce a new matrix with the same dimensions. The formula for matrix addition is:

C = A + B

where A, B, and C are matrices of the same size. To find each element of matrix C, you simply add the corresponding elements of matrix A and matrix B. For example, if:

A = [2 4; 6 8]

B = [1 3; 5 7]

Then, the matrix addition C = A + B would be:

C = [2+1 4+3; 6+5 8+7]

C = [3 7; 11 15]