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NUMERICAL METHOD USING
MATLAB: MANUAL

MATLAB INTRODUCTION:
Windows and there purpose:
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BASIC COMMANDS:
ROWS & COLUME VECTORS:
ROW VECTOR
A vector represented by
a matrix consisting of a
single row of elements

COLUME VECTOR
A vector having only one
column is called a column
vector

IT & STEP VECTOR:

ROW COMPLIMENT:

CREATE A MATRIX:

ZEROS & EYE COMMANDS:

MAGIC & RANDOM COMMAND:

SIZE & ABSOLUTE COMMAND (MATRIX):

DIAGNOLS:

INVERSE OF A MATRIX:

TRACE & DIAGNOL OF AN IDENTITY MATRIX:

Create Line plot from matrix:

PLOTTING:

AUGMENTED MATRIX & ROW REDUCED ECHELON
FORM:

FUNCTIONS:
Q#1

Y=SIN(X)+COS(X)

INPUT:

OUTPUT:

Q#2

Y=sin(x)+ cos (2x)

Q#3

Y=sin(2x)

Q#4

Y=exp(x/2)

Q#5

Y=log(x)

POLYNOMIAL FUNCTION
Q# 6

Ax^3+bx^2+cx+d=f

OUTPUT:

Q# 7

Y=tan(sin(x))-sin(tan(x))

Q#8 Y=tan(x)

Q#9 Y1=cos(x),y2=sin(x)

NUMERICAL METHODS:
BISECTION METHOD:
Q#1 f=x^2-e^3

Q#2 f=xlogx

Q#3

F=x+2cosx

SECANT METHOD:
Find the root of y=cos(x) from 0 to pi
...


OUTPUT:

JACOBI METHOD:

Q#1

OUTPUT:

Q#2

OUTPUT:

GAUSS-SEIDEL METHOD:

OUTPUT

Q#02

OUTPUT:

Q#3

OUTPUT:

LANGRANGE INTERPOLATION

Q#1

OUTPUT:

GRAPH

NEWTON’S INTERPOLATION
Q#1

OUTPUT:

GRAPH:

LEAST SQUARE CURVE
Q#1

Q#2

OUTPUT:



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