on matlab, $1.$ Solve the systems of equations using the back slash and inverse. And determine the determinant.

$3$x $+6$z $=0$

$4$x $+5$y $+10$z $=4$

$6$x $+3$y $=2$

$2.$ A certain college requires any candidate to score $70$ or more to pass for its entrance exam. The following results have been collected.

TsetScore $=[63,67,100,89,92,65,72,69,78,75,98]$;

Using a for loop and a while loop, how many examinees score less than $70?($Use a counter.$)$

Repeat and produce the same output using the find command. The output should look like as follows: $$The following examinees did not pass the entrance exam$\mathrm{.}3.$ Write a program that asks the user the following: $$ Which parking lot are you using?

Hourly charge $$9\mathrm{.}00,$ Daily: $12$ hours $(6$:$00$ AM $6$:$00$ PM$)$ $$90\mathrm{.}00,$ Nightly: $24$vhours$(12$:$00$ AM $12$:$00$ PM$)$ $$160\mathrm{.}00.$ After making selection from the menu, it should ask based on choice: how many hours?, how many days, and how many nights? Then display the result upon selection.

Repeat this with switch case. The output should look like for the menu as follows. For switch case also it should produce the same output.