# Matrix Calculator (Overview and Demo)

Get familiar with the matrix calculator.

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Before making the matrix calculator, let’s briefly recap matrices and their arithmetic.

## Matrix

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are often used to represent linear transformations and systems of linear equations. They have many applications in various fields, such as physics, engineering, economics, computer graphics, and data science/machine learning.

A matrix is usually denoted by a capital letter, such as $A$, and its elements are referred to by their row and column indices, such as $A_{ij}$ for the element in the $i^{th}$ row and $j^{th}$ column. The size of a matrix is given by its number of rows and columns, and it is often written as $m \times n$, where $m$ is the number of rows and $n$ is the number of columns. For example, here's a square matrix (having equal rows and columns) of dimension $3 \times 3.$