Addition of Matrices

We can calculate with matrices, just as we do arithmetic with numbers. We can matrices calculate if we follow the rules for their arithmetic.

Because of this similarity, it is useful to distinguish between numbers and matrices in the way that we write symbols of numbers by lower case letters \((a, b, x, y)\) and matrices by upper case (capital) letters such as\((A, B, X, Y)\).

Matrices Addition

For Matrices addition or subtraction, the matrices must conform. That is, they both must have the same number of rows and the same number of columns.

The matrices

  and   can be added.

The matrices

  and   can not be added.

To execute the matrices addition, the corresponding matrices elements are added.

Example

The result of the addition is called the sum matrix. The sum matrix has the same number of rows and columns as matrices A and B.

Matrix addition online calculator →