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SOME SPECIAL TYPES OF MATRICES

**SOME SPECIAL TYPES OF MATRICES –**

**There are some different types of matrix has been discussed below with different specification. **

__1) Row Matrix –__
A matrix which have only one row is called a row matrix.

**For example,
A = [5 7 3] and B = [3 4] are row matrices of order (1 X 3) and (1 X 2)**

__2) Column Matrix –__ A matrix which have only one column
is called a column matrix. There are some example given below for better understanding -

**are column
matrix of order (3 X 1) and (2 X 1) respectively.**

__3) Rectangular Matrix –__ A matrix in which the number of rows
is not equal to the number of columns, is called rectangular matrix.

**Example – **

**is a
rectangular matrix of order (2 X 3).**

__4) Square Matrix –__ A matrix in which the number of rows
is equal to the number of columns, is called square
matrix.

**Thus, a matrix of order n X n is called a square matrix of order n. **

**Example ;- **

**is a square matrix of order 2.**

**We may call
it a 2-rowed square matrix.**

__5) Diagonal Matrix –__ A square matrix in which every
non-diagonal element is 0 is called a Diagonal
matrix.

**are diagonal matrices of orders (2 X 2) and (3 X 3)
respectively.**

__6) Unit or Identity Matrix -__
A square matrix in which every diagonal element is 1 and every
non-diagonal element is 0, called a unit matrix.

**Example.**

**are unit
matrices of orders 2 and 3 respectively.**

__7) Zero or Null Matrix –__ A matrix in which every element is 0
(Zero), is called a Zero or Null
matrix.

**Example. -**

**are zero matrices of order (1 X 2), (2 X 1), and
(3 X 2) respectively.**

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