Problem $1$: Define the following row vectors $($arrays$)$ in MATLAB:

x $=[628]$

y $=[1046]$

Compute the following matrices.

Problem $2$: In linear algebra, a Hilbert matrix is computed as follows:

Problem $3$: The volume and perimeter of a rectangle can be computed as follows:

volSq $=$ length x width

perSq $=2$ length $+2$ width...

Problem $1\mathrm{.}1$: a$($i$,$j$)=$ x$($i$)$y$($j$)$

$1\mathrm{.}2$: b$($i$,$j$)=$ x$($i$)/$y$($j$)$

$1\mathrm{.}3$: c$($i$)=$ x$($i$)$y$($i$)$

Problem $1\mathrm{.}4$: sumC $=$ sum of the elements in c$.$

AProblem $1\mathrm{.}5$: d$($i$,$j$)=$ x$($i$)/(2+$x$($i$)+$y$($j$)$

Problem $1\mathrm{.}6$: e$($i$,$j$)=$ reciprocal of the lesser of x$($i$)$ and y$($j$).$ If both are same then e$($ij$)=1/$y$($j$)$

Assessment result: correctProblem $2\mathrm{.}1$: Write a MATLAB function to compute the Hilbert matrix for a given size n$.$ Name the function as myFunction.

Assessment result: incorrectProblem $2\mathrm{.}2$: Use the function "myFunction" to create a Hilbert matrix with n $=5$ and assign it to a variable called hilberMat.

The submission must contain a variable named hilbertMat.

Problem $3\mathrm{.}1$: Write a function called myRectangle to compute the volume and perimeter of a rectangle given the length and width. The function should return two values, the computed volume and perimeter.

Problem $3\mathrm{.}2$: Use the function "myRectangle" to compute the volume and perimeter for a rectangle with length $=2$ and width $=3.$ Assign the volume to a variable called vol and perimeter to a variable called perm.

The submission must contain a variable named vol.