Pre$-$lab Exercise Set #$3$

References

Lecture Notes #$2$ & #$3,$ and Lab #$3$ manual.

Textbook for EEL$3111$ and EEL$3112$ OR the textbook for EEL$3003.$

Exercise $3\mathrm{.}1$

$($a$)$ Apply a single MATLAB statement to compute the following finite seri

$S_a=1+{\displaystyle \underset{n=1}{\overset{100}{}}}\frac{1}{n^2}$

$($b$)$ Apply a single MATLAB statement to compute the following finite serit

$S_b={\displaystyle \underset{n=0}{\overset{1000}{}}}{r}^n,$ where $,r=0\mathrm{.}75$

Compare $S_b$ with the fraction $\frac{1}{1-r}.$ Describe what you observe.

Exercise $3\mathrm{.}2$

$($a$)$ Use the MATL $AB$ colon operator $\text{'}$:$\text{'}($excluding the quotes$)$ to create a c range from $-5$ to $4.$ Further, any two consecutive elements of $x$ are uniforml the MATLAB function length to find the number of elements $N$ stored in x$.($b$)$ Exploit the MATLAB function linspace to generate a column vector $y$ and the same number of elements $N$ as in $x.$

Caution: Entering the elements of $x$ and $y$ manually will receive NO credit.

$($c$)$ Apply the MATLAB logical operator $\text{'}=\text{'}\text{'}($excluding the quotes$)$ to verif y$.$ Explain.

Exercise $3\mathrm{.}3$

Create a $77$ matrix $M_7$ via using the MATLAB statement:

$M_7=$magic$(7)$