In these lessons, we will learn how to add and subtract matrices.

We also have a Matrix Calculator that will allow you to add, subtract or multiply 2x2 matrices. Use it to check your answers.

Related Topics: More Lessons on Matrices

### Matrix Addition

**How to add two matrices together?**

If they both have the same dimensions (same number of rows and columns) then you just add up the numbers that are in the same spot.### Matrix Subtraction

**Introduction to matrices and examples of adding and subtracting matrices**
**Introduction to matrices**

**Define a matrix**

A matrix is a rectangular arrangement or array of numbers called elements.

**Identify the dimensions of a matrix**

The dimension m × n of a matrix identifies how many rows and columns a specific matrix has. The ni=umber of rows is m and the number of columns is n.

**Identify elements in a matrix**

A number or element in a matrix is denoted a_{ij}, where i is the ith row and j is the jth column.

**Perform matrix addition, subtraction and scalar multiplication**

The sum of two matrices can only be found if both matrices have the same dimension. To determine the sum, add corresponding elements.

The difference of two matrices can only be found if both matrices have the same dimension. To determine the difference, subtract corresponding elements.

**How to add and subtract matrices?**
**Matrix Operations**

Adding, Subtracting, and Multiplying by a constant for matrices is discussed.

Matrix Calculator

Enter in two 2x2 matrices and select addition, subtraction or multiplication.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We also have a Matrix Calculator that will allow you to add, subtract or multiply 2x2 matrices. Use it to check your answers.

Related Topics: More Lessons on Matrices

We can only add matrices of the **same order**.

* Example: *

Matrix addition is very simple; we just add the corresponding elements.

It is not possible to add matrices that do not have the same order, as shown in the following example:

If they both have the same dimensions (same number of rows and columns) then you just add up the numbers that are in the same spot.

Similarly, we can only subtract matrices of the same order.

* Example: *

We subtract the corresponding elements.

It is not possible to subtract matrices that do not have the same order as in the following example:

A matrix is a rectangular arrangement or array of numbers called elements.

The dimension m × n of a matrix identifies how many rows and columns a specific matrix has. The ni=umber of rows is m and the number of columns is n.

A number or element in a matrix is denoted a

The sum of two matrices can only be found if both matrices have the same dimension. To determine the sum, add corresponding elements.

The difference of two matrices can only be found if both matrices have the same dimension. To determine the difference, subtract corresponding elements.

Adding, Subtracting, and Multiplying by a constant for matrices is discussed.

Matrix Calculator

Enter in two 2x2 matrices and select addition, subtraction or multiplication.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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