Matrices and special matrices

The topic i have chosen now is Matrices which is also an essential topic, a very important topic. This needs a lot of concentration and it is very interesting also. Firstly, i will brief you with the definition of matrix, and brief you with the special matrices as well.

Definition of a Matrix:-


A rectangular array of entries is called a Matrix. These entries may be real, complex or functions.

The entries are also called as the elements of the matrix.
The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital letters. Each of the numbers is called an element of the matrix. Plural of Matrix is Matrices. Matrix is usually denoted by capital letters such as A, B, C,…

Special matrices and there definitions:-

Now that you learn t about matrices, lets learn special matrices and different types of matrices or definition of matrices also.


Row and column matrices:-

Row Matrices:- A matrix which has only one single row is called as Row matrices. It is also called as row vectors.

Column Matrices:- A matrix which has only one column is called as Column matrices. It is also called as column vectors.

Square matrices:-When the total number of rows is equal to total number of columns it is called square matrices. A square matrix is said to be singular if its determinant is zero otherwise non singular.

Diagonal matrix

A square matrix when all the elements except those in the leading diagonal, are zero is called a diagonal matrix.

Unit matrix

A diagonal matrix of order n which has unity for all its diagonal elements, is called a unit matrix or identity matrix of order n and is denoted by In.

Null matrix

If all the elements of a matrix are zero , it is called a zero or null matrix and is denoted by ‘o’.

Triangular matrix

A square matrix when all elements below the leading diagonal are zero is called an upper triangular matrix. A square matrix when all elements above the leading diagonal are zero is called an lower triangular matrix.

This is a very important topic in mathematics which i am sure you were hunting for it. If you feel the post good, let me know and if you have some specific topic to know mention it and i will work on it and help you.