matrices

Types of Matrices

Matrices are distinguished on the basis of their order, elements and certain other conditions. There are different types of matrices but the most commonly used are discussed below. Let’s find out the types of matrices in the field of mathematics.

Types of Matrices

Different types of Matrices and their forms are used for solving numerous problems. Some of them are as follows:

1) Row Matrix

A row matrix has only one row but any number of columns. A matrix is said to be a row matrix if it has only one row. For example,

A=[−1/2√523]

is a row matrix of order 1 × 4. In general, A = [aij]1 × n is a row matrix of order 1 × n.2) Column Matrix

A column matrix has only one column but any number of rows. A matrix is said to be a column matrix if it has only one column. For example,

A=⎡⎣⎢⎢⎢0√3−11/2⎤⎦⎥⎥⎥

is a column matrix of order 4 × 1. In general, B = [bij]m × 1 is a column matrix of order m × 1.3) Square Matrix

Types of Matrices

Different types of Matrices and their forms are used for solving numerous problems. Some of them are as follows:

1) Row Matrix

A row matrix has only one row but any number of columns. A matrix is said to be a row matrix if it has only one row. For example,

A=[−1/2√523]

is a row matrix of order 1 × 4. In general, A = [a_ij]_{1 × n} is a row matrix of order 1 × n.

2) Column Matrix

A column matrix has only one column but any number of rows. A matrix is said to be a column matrix if it has only one column. For example,

A=⎡⎣⎢⎢⎢0√3−11/2⎤⎦⎥⎥⎥

is a column matrix of order 4 × 1. In general, B = [b_ij]_{m × 1} is a column matrix of order m × 1.

3) Square Matrix

A square matrix has the number of columns equal to the number of rows. A matrix in which the number of rows is equal to the number of columns is said to be a square matrix. Thus an m × n matrix is said to be a square matrix if m = n and is known as a square matrix of order ‘n’. For example,

A=⎡⎣⎢33/24−1√3/2301−1⎤⎦⎥

 is a square matrix of order 3. In general, A = [a_ij] m × m is a square matrix of order m.

A square matrix has the number of columns equal to the number of rows. A matrix in which the number of rows is equal to the number of columns is said to be a square matrix. Thus an m × n matrix is said to be a square matrix if m = n and is known as a square matrix of order ‘n’. For example,

A=⎡⎣⎢33/24−1√3/2301−1⎤⎦⎥

 is a square matrix of order 3. In general, A = [aij] m × m is a square matrix of order m.