**Matrix definition all types ppt:**

**(1)** A matrix has only one row is called **row matrix** and enclose within brackets.

**Example:**

**(2)** A matrix is called a **column matri**x if it has only one column and enclosed with brackets.

**Example:**

**(3)** If A matrix has same row and column and enclosed with brackets is called **square matrix.**

Example:

**(4)** A matrix, each of the entries has zero is called **null matrix or zero matrix.**

**Example**: in the link down

**symmetric Matrix of 3 by 3 square matrix**

**Matrix definition all types ppt:**

**(5)** changing the number of rows into column or column into row is called** transpose of a matrix.**

**Example;**

**(6)** if we take transpose of a matrix, then matrix position does not change the matrix is called **symmetric matrix.**

**Example: **

**(7)** By multiplying of matrix negative sign (- negative) the resulting matrix is – A is called **negative matrix.**

**Example:**

**(8)** if we take matrix transpose, the resulting matrix is negative matrix means – A is said **skew symmetric matrix.**

**Example:**

**transpose of A = – A**

**(9)** A matrix has all diagonal entries 1 is called **diagonal matrix.**

**Example:**

**identity matrix multiply diagonal**

**(10)** (i) order of B = order of C (ii) if all entries are same : these are the matrix are** equal matrix.**

**(11)** multiplication of two matrixes A and Matrix B.then A is called **identity matrix.**

**If. A × B= B= B×A**

**(12)** the real number λ is called the determinant of B, denoted by** det. B** such that

**Example image **

(13) A square matrix is called singular , if the determinant of B equal to zero.

(14) For a matrix

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