Multiplication Technique's

Step1: Take two less than or near about 100 Like (98*97).

Step2: Minus with 100 both number (098-100=-2,097-100=-3).

Step3: Add result (-5) and add with 100 (100-5=95).

Step4: Multiply result(2*3=06).

Step5: Write both result with combination (95006).

Step1: Take two more than or near about 100 Like (105*103).

Step2: Minus with 100 both number (105-100=5,103-100=3).

Step3: Add result (8) and add with 100 (100+8=108).

Step4: Multiply result(5*3=15).

Step5: Write both result with combination (10815).

A rectangular arrangement of numbers in rows and columns , is called a matrix ,and enclosed by small ( ) or big [ ] brackets .

Example - ,

Type of matrix

Row matrix –

A matrix which have only one row , then it is called Row

matrix

Thus A= [ is a Row matrix if m=1

Example-

[ 1,3,5 ]

Column matrix –

A matrix which have only one column, when it is

Called a Column matrix

Thus, A=[ is a Column matrix if n=1

Example-

Square matrix – A matrix in which the number of rows is

Equal to the number of columns is called a

Square matrix

Thus, [ where m=n=1

Example-

is Square matrix of order 2

Diagonal matrix- A square matrix is called a Diagonal matrix if all

the elements, except those in the leading

Diagonal ,are Zero

Example-

Scalar matrix- A diagonal matrix in which all the diagonal elements

are equal ,is called Scalar matrix

Example-

Null Matrix- A matrix whose all elements are zero, is called null

matrix or zero matrix.

Example-

Distance between Two Point

The distance between two points in the plane is the length of the line segment joining them

the distance between two points P(x1,y1) and Q(x2,y2) is given by

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