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ere's a single MATLAB script addressing all the problems described:
matlab
% Problem 1: Simple if Statement
x = 5; % Example value
if x > 0
disp('The number is positive.');
end
% Problem 2: if ... else Statement
x = 7; % Example value
if mod(x, 2) == 0
disp('The number is even.');
else
disp('The number is odd.');
end
% Problem 3: if ... elseif ... else Statement
score = 85; % Example value
if score >= 90 && score <= 100
disp('Grade A');
elseif score >= 80 && score < 90
disp('Grade B');
elseif score >= 70 && score < 80
disp('Grade C');
elseif score >= 60 && score < 70
disp('Grade D');
else
disp('Grade F');
end
% Problem 4: Nested if Statement
x = 8; % Example value
if x > 0
if mod(x, 2) == 0
disp('The number is positive and even.');
else
disp('The number is positive and odd.');
end
end
% Problem 5: Temperature Classification (if ... elseif)
T = 18; % Example value
if T < 0
disp('Freezing');
elseif T >= 0 && T <= 15
disp('Cold');
elseif T >= 16 && T <= 25
disp('Mild');
else
disp('Hot');
end
% Problem 6: Simple switch Statement
grade = 'B'; % Example value
switch grade
case 'A'
disp('Excellent');
case 'B'
disp('Good');
case 'C'
disp('Fair');
case 'D'
disp('Poor');
case 'F'
disp('Fail');
otherwise
disp('Invalid grade.');
end
% Problem 7: Nested switch Statement
department = 'Engineering'; % Example value
major = 'Mechanical'; % Example value
switch department
case 'Engineering'
switch major
case 'Electrical'
disp('Electrical Engineering');
case 'Mechanical'
disp('Mechanical Engineering');
case 'Civil'
disp('Civil Engineering');
otherwise
disp('Unknown major.');
end
case 'Arts'
disp('Arts Department');
case 'Sciences'
disp('Sciences Department');
otherwise
disp('Unknown department.');
end
% Problem 8: Leap Year Check (if Statements)
year = 2024; % Example value
if mod(year, 4) == 0
if mod(year, 100) ~= 0 || mod(year, 400) == 0
disp('Leap year');
else
disp('Not a leap year');
end
else
disp('Not a leap year');
end
% Problem 9: Triangle Type (if ... elseif)
a = 5; b = 5; c = 5; % Example values
if a == b && b == c
disp('Equilateral triangle');
elseif a == b || b == c || a == c
disp('Isosceles triangle');
else
disp('Scalene triangle');
end
% Problem 10: Calculator with switch Statement
num1 = 10; % Example value
num2 = 5; % Example value
operation = '*'; % Example value
switch operation
case '+'
result = num1 + num2;
disp(['Result: ', num2str(result)]);
case '-'
result = num1 - num2;
disp(['Result: ', num2str(result)]);
case '*'
result = num1 * num2;
disp(['Result: ', num2str(result)]);
case '/'
if num2 ~= 0
result = num1 / num2;
disp(['Result: ', num2str(result)]);
else
disp('Error: Division by zero');
end
otherwise
disp('Invalid operation');
end
This code covers all the problems mentioned in your document. Replace the example values with inputs as needed.
% MATLAB Homework Solutions
% Problem 1: Sum of Even Numbers using while Loop
sum_even = 0;
num = 1;
while num <= 50
if mod(num, 2) == 0
sum_even = sum_even + num;
end
num = num + 1;
end
disp('Problem 1: Sum of Even Numbers');
disp(sum_even);
% Problem 2: Factorial Calculation using for Loop
n = 5; % Example number to calculate factorial
factorial_result = 1;
for i = 1:n
factorial_result = factorial_result * i;
end
disp('Problem 2: Factorial of the number');
disp(factorial_result);
% Problem 3: Multiplication Table using Nested Loops
disp('Problem 3: 10x10 Multiplication Table');
for i = 1:10
for j = 1:10
fprintf('%d\t', i * j);
end
fprintf('\n');
end
% Problem 4: Count Digits using while Loop
number = 12345; % Example number
digit_count = 0;
while number > 0
number = floor(number / 10);
digit_count = digit_count + 1;
end
disp('Problem 4: Number of digits');
disp(digit_count);
% Problem 5: Skip Multiples of 3 using for Loop and continue
disp('Problem 5: Numbers from 1 to 20 (skipping multiples of 3)');
for i = 1:20
if mod(i, 3) == 0
continue;
end
disp(i);
end
% Problem 6: Break a while Loop when Condition is Met
num = 101; % Start checking from 101
while true
if mod(num, 5) == 0 && mod(num, 7) == 0
disp('Problem 6: First number greater than 100 divisible by 5 and 7');
disp(num);
break;
end
num = num + 1;
end
% Problem 7: Summing Diagonal Elements using Nested Loops
matrix = randi([1, 20], 5, 5); % Create a 5x5 random matrix
diagonal_sum = 0;
for i = 1:5
diagonal_sum = diagonal_sum + matrix(i, i);
end
disp('Problem 7: Sum of diagonal elements');
disp(matrix); % Display the matrix
disp(diagonal_sum);
% Problem 8: Reverse a Number using while Loop
num = 12345; % Example number
reversed = 0;
while num > 0
remainder = mod(num, 10);
reversed = reversed * 10 + remainder;
num = floor(num / 10);
end
disp('Problem 8: Reversed number');
disp(reversed);
% Problem 9: Prime Number Checker using for Loop and break
num = 29; % Example number to check
is_prime = true; % Assume the number is prime
if num < 2
is_prime = false;
else
for i = 2:sqrt(num)
if mod(num, i) == 0
is_prime = false;
break;
end
end
end
disp('Problem 9: Is the number prime?');
disp(is_prime);
% Problem 10: Display Pascal's Triangle using Nested Loops
n = 5; % Number of rows in Pascal's Triangle
disp('Problem 10: Pascal''s Triangle');
for i = 0:n-1
row = 1; % First element in the row
for j = 0:i
fprintf('%d ', row);
row = row * (i - j) / (j + 1); % Calculate next element
end
fprintf('\n'); % Move to the next row
end
% MATLAB Homework: Matrix Solutions
%% 1. Create a 5x5 Matrix
A1 = reshape(1:25, 5, 5)'; % 5x5 matrix with elements 1 to 25 arranged row-wise
disp('1. 5x5 Matrix:');
disp(A1);
%% 2. Element Referencing
b = [10 20 30; 40 50 60; 70 80 90];
element = b(3,2); % Element in 3rd row, 2nd column
disp('2. Element Referencing (3rd row, 2nd column):');
disp(element);
%% 3. Column Vector Creation
v = b(:,1); % First column of matrix b
disp('3. Column Vector (1st column of b):');
disp(v);
%% 4. Sub-matrix Extraction
subMatrix = b(2:3, 1:2); % Last two rows, first two columns
disp('4. 2x2 Sub-Matrix:');
disp(subMatrix);
%% 5. Row Deletion
c = [1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16];
c(2,:) = []; % Delete second row
disp('5. Matrix after Row Deletion:');
disp(c);
%% 6. Column Deletion
c(:,3) = []; % Delete third column
disp('6. Matrix after Column Deletion:');
disp(c);
%% 7. Matrix Addition and Subtraction
d = [1 2 3; 4 5 6; 7 8 9];
e = [9 8 7; 6 5 4; 3 2 1];
addResult = d + e; % Matrix addition
subResult = d - e; % Matrix subtraction
disp('7. Matrix Addition (d + e):');
disp(addResult);
disp('Matrix Subtraction (d - e):');
disp(subResult);
%% 8. Matrix Scalar Operations
scalarMultiply = d * 3; % Multiply by 3
scalarDivide = d / 3; % Divide by 3
disp('8. Matrix after Scalar Multiplication (d * 3):');
disp(scalarMultiply);
disp('Matrix after Scalar Division (d / 3):');
disp(scalarDivide);
%% 9. Matrix Transposition
f = [1 3 5; 2 4 6];
fTranspose = f';
disp('9. Transposed Matrix:');
disp(fTranspose);
%% 10. Matrix Inverse and Determinant
g = [1 0 2; 2 1 3; 3 4 1];
det_g = det(g); % Determinant
disp('10. Determinant of Matrix g:');
disp(det_g);
if det_g ~= 0
gInverse = inv(g); % Inverse of g
disp('Inverse of Matrix g:');
disp(gInverse);
else
disp('Matrix g is singular and does not have an inverse.');
end
%% 11. Dynamic Matrix Creation
n = input('Enter the size of the square matrix n: ');
A_dynamic = zeros(n,n);
for i = 1:n
for j = 1:n
A_dynamic(i,j) = i * j;
end
end
disp('11. Dynamic Square Matrix A (i*j):');
disp(A_dynamic);
%% 12. Checkerboard Matrix
n = 8; % Size of checkerboard matrix
checkerboard = mod((1:n)' + (1:n), 2); % Checkerboard logic
disp('12. Checkerboard Matrix (n=8):');
disp(checkerboard);
%% 13. Rotating a Matrix 90 Degrees Clockwise
M = [1 2 3; 4 5 6; 7 8 9]; % Test matrix
rotatedMatrix = M';
rotatedMatrix = flipud(rotatedMatrix);
disp('13. Rotated Matrix (90 Degrees Clockwise):');
disp(rotatedMatrix);
%% 14. Diagonal Dominance Validator
function isDominant = checkDiagonalDominance(X)
n = size(X, 1);
isDominant = true;
for i = 1:n
if abs(X(i,i)) <= sum(abs(X(i,:))) - abs(X(i,i))
isDominant = false;
break;
end
end
end
% Example: Test the diagonal dominance validator
matrixTest = [3 1 1; 1 4 1; 0 2 5];
disp('14. Diagonal Dominance Check:');
if checkDiagonalDominance(matrixTest)
disp('Matrix is diagonally dominant.');
else
disp('Matrix is NOT diagonally dominant.');
end
%% 15. Matrix Pattern Extraction (Cross Shape)
X = magic(7); % Create a 7x7 test matrix
middleRow = X(ceil(end/2), :);
middleColumn = X(:, ceil(end/2));
crossShape = [middleRow; middleColumn'];
disp('15. Extracted Cross Shape from Center of Matrix:');
disp('Middle Row:');
disp(middleRow);
disp('Middle Column:');
disp(middleColumn);
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We will be updating the MATLAB Answers infrastructure at 1PM EST today. We do not expect any disruption of service during this time. However, if you notice any issues, please be patient and try again later. Thank you for your understanding.
I am very excited to share my new book "Data-driven method for dynamic systems" available through SIAM publishing: https://epubs.siam.org/doi/10.1137/1.9781611978162
This book brings together modern computational tools to provide an accurate understanding of dynamic data. The techniques build on pencil-and-paper mathematical techniques that go back decades and sometimes even centuries. The result is an introduction to state-of-the-art methods that complement, rather than replace, traditional analysis of time-dependent systems. One can find methods in this book that are not found in other books, as well as methods developed exclusively for the book itself. I also provide an example-driven exploration that is (hopefully) appealing to graduate students and researchers who are new to the subject.
Each and every example for the book can be reproduced using the code at this repo: https://github.com/jbramburger/DataDrivenDynSyst
Hope you like it!
Christmas season is underway at my house:
(Sorry - the ornament is not available at the MathWorks Merch Shop -- I made it with a 3-D printer.)
Hello, MATLAB fans!
For years, many of you have expressed interest in getting your hands on some cool MathWorks merchandise. I'm thrilled to announce that the wait is over—the MathWorks Merch Shop is officially open!
In our shop, you'll find a variety of exciting items, including baseball caps, mugs, T-shirts, and YETI bottles.
Visit the shop today and explore all the fantastic merchandise we have to offer. Happy shopping!
My favorite image processing book is The Image Processing Handbook by John Russ. It shows a wide variety of examples of algorithms from a wide variety of image sources and techniques. It's light on math so it's easy to read. You can find both hardcover and eBooks on Amazon.com Image Processing Handbook
There is also a Book by Steve Eddins, former leader of the image processing team at Mathworks. Has MATLAB code with it. Digital Image Processing Using MATLAB
You might also want to look at the free online book http://szeliski.org/Book/
What incredible short movies can be crafted with no more than 2000 characters of MATLAB code? Discover the creativity in our GALLERY from the MATLAB Shorts Mini Hack contest.
Vote on your favorite short movies by Nov.10th. We are giving out MATLAB T-shirts to 10 lucky voters!
Tips: the more you vote, the higher your chance to win.
Mark your calendar for November 13–14 and get ready for two days of learning, inspiration, and connections!
We are thrilled to announce that MathWork’s incredible María Elena Gavilán Alfonso was selected as a keynote speaker at this year’s MATLAB Expo.
Her session, "From Embedded to Empowered: The Rise of Software-Defined Products," promises to be a game-changer! With her expertise and insights, María is set to inspire and elevate our understanding of the evolving world of software-defined products.
I know we have all been in that all-too-common situation of needing to inefficiently identify prime numbers using only a regular expression... and now Matt Parker from Standup Maths helpfully released a YouTube video entitled "How on Earth does ^.?$|^(..+?)\1+$ produce primes?" in which he explains a simple regular expression (aka Halloween incantation) which matches composite numbers:
Here is my first attempt using MATLAB and Matt Parker's example values:
fnh = @(n) isempty(regexp(repelem('*',n),'^.?$|^(..+?)\1+$','emptymatch'));
fnh(13)
fnh(15)
fnh(101)
fnh(1000)
Feel free to try/modify the incantation yourself. Happy Halloween!
Hello! The MathWorks Book Program is thrilled to welcome you to our discussion channel dedicated to books on MATLAB and Simulink. Here, you can:
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We’re excited to see the discussions and exchanges that will unfold here. Whether you're an expert or beginner, there's a place for you in our community. Let's embark on this journey together!
Welcome to the launch of our new blog area, Semiconductor Design and Verification! The mission is to empower engineers and designers in the semiconductor industry by streamlining architectural exploration, optimizing the post-processing of simulations, and enabling early verification with MATLAB and Simulink.
Meet Our Authors
We are thrilled to have two esteemed authors:
@Ganesh Rathinavel and @Cristian Macario Macario have both made significant contributions to the advancement of Analog/Mixed-Signal design and the broader communications, electronics, and semiconductor industries. With impressive engineering backgrounds and extensive experience at leading companies such as IMEC, STMicroelectronics, NXP Semiconductors, LSI Corporation, and ARM, they bring a wealth of knowledge and expertise to our blog. Their work is focused on enhancing MathWorks' tools to better align with industry needs.
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Don’t miss the first post: Accelerating Mixed-Signal Design with Early Behavioral Models, where they explore how early behavioral modeling can accelerate mixed-signal design and enhance system efficiency.
We are happy to announce the addition of a new code analyzing feature to the AI Chat Playground. This new feature allows you to identify issues with your code making it easier to troubleshoot.
How does it work?
Just click the ANALYZE button in the toolbar of the code editor. Your code is sent to MATLAB running on a server which returns any warnings or errors, each of which are associated to a line of code on the right side of the editor window. Hover over each line marker to view the message.
Give it a try and share your feedback here. We will be adding this new capability to other community areas in the future so your feedback is appreciated.
Thank you,
David
We are thrilled to announce that every community member now has the ability to create a poll in Discussions, allowing you to gather votes and opinions from the community.
How to create a poll:
You can find the ‘Create a Poll’ link just below the text box (see screenshot below). Please note that the default type of content is a ‘Discussion’. To start a poll, simply click the link.
Creating a poll is straightforward. You can add up to 6 choices for your poll and set the duration from 1 to 6 weeks.
Where to find the poll
Polls created by community members will appear only in the channel where they are created and the landing page of Discussions area. Discussions moderators have the privilege to feature/broadcast the poll across Answers, File Exchange, and Cody.
Thoughts?
We can’t wait to see what interesting polls our community will create. Meanwhile, if you have any questions or suggestions, feel free to leave a comment.
If you are interested in AI, Autonomous Systems and Robotics, and the future of engineering, don't miss out on MATLAB EXPO 2024 and register now.
You will have the opportunity to connect with engineers, scientists, educators, and researchers, and new ideas.
Featured Sessions:
- From Embedded to Empowered: The Rise of Software-Defined Products - María Elena Gavilán Alfonso, MathWorks
- The Empathetic Engineers of Tomorrow - Dr. Darryll Pines, University of Maryland
- A Model-Based Design Journey from Aerospace to an Artificial Pancreas System - Louis Lintereur, Medtronic Diabetes
Featured Topics:
- AI
- Autonomous Systems and Robotics
- Electrification
- Algorithm Development and Data Analysis
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We are thrilled to announce the redesign of the Discussions leaf page, with a new user-focused right-hand column!
Why Are We Doing This?
- Address Readers’ Needs:
Previously, the right-hand column displayed related content, but feedback from our community indicated that this wasn't meeting your needs. Many of you expressed a desire to read more posts from the same author but found it challenging to locate them.
With the new design, readers can easily learn more about the author, explore their other posts, and follow them to receive notifications on new content.
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Since the launch of the Discussions area earlier this year, we've seen an influx of community members sharing insightful technical articles, use cases, and ideas. The new design aims to help you grow your followers and organize your content more effectively by editing tags. We highly encourage you to use the Discussions area as your community blogging platform.
We hope you enjoy the new design of the right-hand column. Please feel free to share your thoughts and experiences by leaving a comment below.
We are excited to invite you to join our 2024 community contest – MATLAB Shorts Mini Hack! Last year, we challenged you to create a 48-frame animation. In 2024, we are increasing the frame count to 96 and supporting audio. Your mission? Create a short movie!
Whether you are a seasoned MATLAB user or just a beginner, you can participate in the contest and have opportunities to win amazing prizes. Be sure to check out our Blog post for more details on the Community Contests.
Timeframe
This contest runs for 5 weeks, from Oct. 7th to Nov. 10th.
How to Participate
- Create a new short movie or remix an existing one with up to 2,000 characters of code.
- Vote or comment on the short movies you love!
Prizes
You will have opportunities to win compelling prizes, including Amazon gift cards, MathWorks T-shirts, and virtual badges. We will give out both weekly prizes and grand prizes.
Stay Informed
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The AI Chat Playground at MATLAB Central has two new upgrades: OpenAI GPT-4o mini and MATLAB R2024b!
GPT-4o mini is a new language model from OpenAI and brings general knowledge up to October 2023. GPT-4o mini surpasses GPT-3.5 Turbo and other small models on academic benchmarks across both textual intelligence and reasoning. Our goal is to keep improving the output of the AI Chat Playground. This upgrade is available now: https://www.mathworks.com/matlabcentral/playground/
One more thing... we also updated the system to the latest release of MATLAB. This is R2024b and comes with hundreds of updates and new plot types to explore.Check out Mike Croucher's blog post about the latest version of MATLAB: https://blogs.mathworks.com/matlab/2024/09/13/the-latest-version-of-matlab-r2024b-has-just-been-released/
We are looking forward to your feedback on the updates to the AI Chat Playground. Let us know what you think and how you use this community app.
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