MATLAB

MATLAB is a programming and numeric computing platform

Introduction

MATLAB is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.

HISTORY

Started by cleve moler in 1970s

Later jack little,steve bangert and cleve moler fonded Mathworks in 1984 and rewrite MATLAB IN C language

Table of contents

02

Capabilities

Operators

Uses

Practical exercises

01

04

03

MATLAB's built-in functions provide excellent tools for linear algebra computations

An operator is a symbol that tells the compiler to perform various numerical or logical manipulations

solving engineering and scientific problems

Go through this practical at your own pace and learn about the MATLAB environment in more detail

How it is different from other languages?

Here’s what you’ll find in this Slidesgo template:

1. Specialized for numerical computation and data visualization.
2. Easy to code and simple syntax.
3. Interactive numerical compression environment.
4. Large no of tool boxes for machine learning and image processing.
5. Symbolic computation
6. Function written in C or fortron can also be compiled.

What is MATLAB

1.Programming language specially designed for engineers and scientists.

2.MATLAB=MATrix + LABoratory

3.Simulink

Capabilities

01

Datatypes and preprocessing capabilities designed for engineering and scientific data

02

Features

03

Operators

ARITHMATIC OPERATORS :

RELATIONAL OPERATORS :

LOGICAL OPERATORS :

04

Exercises

CALCULATOR

MATLAB as a Calculator. calculator MATLAB can be used as a powerful calculator

SCRIPTS

A script is a file that contains multiple sequential lines of MATLAB commands and function calls

VECTORS

A vector is an enclosed set of elements

LINE PLOTS

Line plots make a connection between those first graphs and the more advanced concepts

MATRICES

A matrix is a two-dimensional array of numbers

LOGICAL

MATLAB represents Boolean data using the logical data type

LOOPS

A loop statement allows us to execute a statement or group of statements multiple times

INTERPOLATION

Interpolation is a technique for adding new data points within a range of a set of known data points

Problem 1

Solution 1

Use Matlab to compute the following expressions.

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(((sqrt(5)+1)/2)^10-((sqrt(5)-1)/2)^10)/sqrt(5)

Matlab as a calculator

Matlab\calcQ.m

Scripts

Problem 1

Solution 1

Compute the values of cos x and sin x for x = 0, π/6, π/4, π/3, and π/2. Write a script.

x=[0 pi/6 pi/4 pi/3 pi/2];

cos(x);

sin(x);

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Matlab\scriptsQ.m

Vector

Problem 1

Solution 1

V=[1 3 5 7 -9 10];

W=[3;-7;9;10;12];

a=2*V;

b=W.^2;

c=(V.^2)+(2*V);

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Matlab\vectorQ.m

Line Plots

Problem 1

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Solution 1

t=linspace(0,2*pi);

x=cos(t);y=sin(t);

plot(x,y);

axis equal;

axis([-1.1 1.1 -1.1 1.1]);

ax=gca;

ax.XTick=[-1 -0.5 0 0.5 1];

ax.YTick=[-1 -0.5 0 0.5 1];

xlabel('$x$','Interpreter','latex','FontSize',14);

ylabel('$y$','Interpreter','latex','FontSize',14);

title('Plot of a circle','Interpreter','latex','FontSize',16);

​

Matlab\lineQ.m

Matrices

Problem 1

Solution 1

Construct the following matrix in Matlab

Evaluate the following expressions using

Matlab.

x) A([1,3],[2,4])

y) A(:,[1,4:6])

z) A([2,3],:)

A=[6 9 12 15 18 21;4 4 4 4 4 4;2 1 0 -1 -2 -3;-6 -4 -2 0 2 4];

x=A([1,3],[2,4]);

y=A(:,[1,4:6]);

z=A([2,3],:);

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Matlab\matrixQ.m

Logicals

Problem 1

Solution 1

Evaluate the following expressions. Check your answer with Matlab.

x) 14>15/3

y) 8/(2<5)*3+(1>9)

z) 2+4+3~=60/4-1

r) 8/2<5*3+1>9

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x=14>15/3;

y=8/(2<5)*3+(1>9);

z=2+4+3~=60/4-1;

r=8/2<5*3+1>9;

​

Matlab\logicalsQ.m

Loops

Problem 1

Solution 1

1.Write factorial of input number using for loops.

2.write factorial of a input number using while loop.

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1.n=input('Enter the number:');

f=1;

for i=1:n

f=f*i;

end

X=['The factorial of ',num2str(n),' is ',num2str(f)];

disp(X);

2.n=input('Enter the number:');

c=n;

fact=n;

while n>1

n=n-1;

fact=fact*n;

end

X=['The factorial of ',num2str(c),' is ',num2str(fact)];

disp(X);

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1.Matlab\loopFQ.m

2.Matlab\loopWQ.m

Interpolation

Problem 1

Solution 1

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Find the interpolating polynomial that passes through (2,4) , (3,7) , (4,8) , (5,11) , (6,15) hence manipulate the value of y at x = 4.5

x=input('Enter the abscissas:');

y=input('Enter the ordinates:');

p0=input('enter point of approx.:');

n=length(x);

h=x(2)-x(1);

f=zeros(n,n);

f(:,1)=y;

for j=2:n

for i=j:n

f(i,j)=f(i,j-1)-f(i-1,j-1);

end

end

f

C=f(n,n);

for k=n-1:-1:1

p=poly(x(1))/h;

p(2)=p(2)-(k-1);

C=conv(C,p)/k;

m=length(C);

C(m)=C(m)+f(k,k);

end

C

A=polyval(C,p0);

fprintf('Approximate value at given data point is : %.4f\n',A);

Matlab\interpolationQ.m

Thank You