Needs to be C$++$

$(1)$ Write a program that accepts a $2-$dimensional array $($matrix$)$ with $n$ rows and $m$ columns, where $n$ and $m$ are user$-$given

and prints out its transpose $($i$.$e$.,$ every row in the original matrix becomes a column in the transpose matrix$).$ For example, if the given matrix is

$\backslash$table$[[1,2,3,4],[5,6,7,8],[9,10,11,12]]$

the transpose will be

$\backslash$table$[[1,5,9],[2,6,10],[3,7,11],[4,8,12]]$

$(2)$ Write a program that reads in a $2-$dimensional array $($matrix$)$ with $n$ rows and $m$ columns where $n$ and $m$ are user$-$given and for each column it computes its average.

E$.$g$.,$ for the matrix

$123$

$456$

$383$

the average of $1^{st}$ column is $3\mathrm{.}333333,$ of $2^{nd}$ column is $5\mathrm{.}0,$ and of $3^{rd}$ column is $4\mathrm{.}0.$

$(3)$ Write a program using nested loops that asks the user to enter a value for the number of rows to display. It should then display that many rows of $*$ and $$,$ with

one $*$ in the first row, two in the second row, and so on$.$ However, the last $*$ in each row should be aligned $($preceded by as many $ as necessary$).$

A sample run would look like this:

Enter number of rows: $5$

Then the $*$ and $ should appear like this:

$\backslash$table$[[$$$,$$$,$$$,$$$,**$