We are able to perform operations on matrices as long as their dimensions match up. In terms of matrix addition, this means the dimensions of the matrix are identical.

We simply add the elements in the same corresponding position and obtain a matrix with the same dimensions. In this case a 2X2.

For example:

If two matrices do not have the same dimensions, they cannot be added.

Scalar multiplication is the simple process of increasing each element within a matrix by a single product.

Because we only have one number as the multiplier, specific dimensions are not necessary.