$1.$ Create a vector of the even whole numbers between $31$ and $75.$

$2.$ Create a vector x with $100$ elements $($try to use $$linspace$$ function if possible$).$

a$)2,4,6,8,...$

b$)10,8,6,4,2,0,-2,-4,...$

c$)1/2,2/3,3/4,4/5,...,$ n$/($n$+1)$

d$)0,1/2,2/3,3/4,4/5,...,$ n$/($n$+1)$

$3.$ Let x $=[2516].$

a$.$ Add $16$ to each element

b$.$ Add $3$ to just the odd$-$index elements

c$.$ Compute the square root of each element

d$.$ Compute the square of each element

$4.$ Let x $=[3268]\text{'}$ and y $=[4135]\text{'}($Note: x and y should be column vectors$).$

a$.$ Add the sum of the elements in x to y$.$

b$.$ Raise each element of x to the power specified by the corresponding element in y$.$

c$.$ Divide each element of y by the corresponding element in x$.$

d$.$ Multiply each element in x by the corresponding element in y$,$ calling the result $"$z$".$

e$.$ Add up the elements in z and assign the result to a variable called $"$w$".$

f$.$ Compute x$\text{'}*$y $-$ w and interpret the result.

$5.$ Given the array A $=[2,4,1$ ; $6,7,2$ ; $3,5,9],$ provide the commands needed to

a$.$ assign the first row of A to a vector called x

b$.$ assign the last $2$ rows of A to an array called y

c$.$ compute the sum over the columns of A

d$.$ compute the sum over the rows of A

$6.$ Given the arrays x $=[1,4,8],$ y $=[2,1,5]$ and A $=[3,1,6$ ; $5,2,7],$ determine which of the following

statements will correctly execute and provide the result. If the command will not correctly execute,

state why it will not.

a$.$ x $+$ y

b$.$ x $+$ A

c$.$ x$\text{'}+$ y

d$.$ A $-[$x$\text{'}$ y$\text{'}]$

e$.[$x ; y$\text{'}]$

f$.$ A $-3$