LAB $5($Lab Work $3)($Assignment$)$

BASIC CONCEPT, PROGRAM STRUCTURES AND FUNCTIONS IN MATLAB COEB$1013$ Programming for Engineers $/$ CSEB$113$ Principles of Programming

SEMESTER $12024/2025$

Instructions

Complete the assignment in MATLAB script and submit your file$($s$)$ via BRIGHTEN. Name your file$($s$)$ using the format 'YourID$\_$Shortname$\_$Lab$5\text{'}.$ Please indicate the question number in your script.

Ensure that all variables and parameters are named using the format 'variablename$\_$XXXX$,\text{'}$ where XXXX represents the last four digits of your student ID $($i$.$e$.,$ length$\_1234=15\mathrm{.}61).$

Question $1$: Variables and Arithmetic

a$.$ Calculate the perimeter of a rectangle with length $=15$ and width $=7.$

b$.$ Find the kinetic energy of a moving object with mass $=20kg$ and velocity $=5\frac{m}{s}.$ Given $KE=\frac{1}{2}m{v}^2$

Question $2$: Vectors and Matrices

a$.$ Create and display a vector of even numbers from $2$ to $20.$

b$.$ Compute the product of two matrices:

$A=\left[\begin{array}{cc}2& 3\\ 6& 7\\ 16& 7\end{array}\right],$ and $B=\left[\begin{array}{ccc}10& 4& 3\\ 1& 12& 7\end{array}\right]$

c$.$ Determine the transpose and inverse matrix of A and $B$ in $($b$).$

Question $3$: Input$/$ Output

a$.$ Write a script to calculate the total cost of materials for a construction project. Ask the user for:

Quantity of material.

Price per unit of material.

Display the total cost.

b$.$ Prompt the user for the side length of a cube and calculate its surface area and volume. Display the answers.

c$.$ Write a script to calculate the monthly payment for a loan using the equation:

$M=\frac{Pr(1+r{)}^n}{(1+r{)}^n-1}$

where:

$P$ : Loan amount $($prompt user for input$).$

$r$ : Monthly interest rate $($e$.$g$.,5\%$ annual $=\frac{0\mathrm{.}05}{12}).$

$n$ : Number of months $($e$.$g$.,3$ years $=312).$