# Elements of a Matrix

A quantity that displayed inside a matrix is called an element of the matrix.

Quantities are displayed inside every matrix. Each quantity is known as an element. Numbers, symbols and combination of both numbers and symbols are usually appeared as elements in matrices. Here are some example matrices in which elements are usually displayed in various possible forms.

## Example

1.

### Numbers

Numbers are appeared as elements in matrices. Real numbers, imaginary numbers and complex numbers form matrices.

$R=\left[\begin{array}{cccc}4& 0& \frac{5}{7}& 2\\ 5& \sqrt{3}& –6& 6\\ 1& 7& –2& 8\end{array}\right]$

$R$ is a matrix, formed by the real numbers. It contains all types of real numbers.

$I=\left[\begin{array}{ccc}4i& –i& \frac{i}{7}\end{array}\right]$

$I$ is a matrix and it is formed by the imaginary elements.

$C$ is a matrix and it is formed by the combination both real and imaginary numbers.

2.

### Symbols

Algebra is developed by using symbols instead of numbers. It is also used in matrices to develop matrix algebra.

$S=\left[\begin{array}{cccc}{s}^{2}+{t}^{2}& g& i+4k& p\\ –a& l& \sqrt{h}& e\\ {o}^{4}& –n& \delta & b\\ {w}^{n}& \frac{p}{q}& –\pi & c\end{array}\right]$

The matrix $S$ is formed by the various algebraic symbols in different forms.

3.

### Combination of both

Numbers and symbols also involve in forming the matrices.

$A$ is a matrix and it is formed by the combination of both numbers and symbols in various forms.

Save (or) Share