$(1)$

Plot the function $y_1=t*e^t$ and $y_2=2t^2$ within the interval

from $t=0$ to $t=1s,$ with $0\mathrm{.}01$ s increment

a$)$ both on the same graph. Add a title for graph, label

for $x$ and $y$ axis and a legend.

b$-)$ each on separate graphs. Add a title for graph, label

for $x$ and $y$ axis and a legend.

$($Hint: use subplot function$)$

Suppress intermediate outputs in all codes.

$(2)$

Matrix $A$ is given as below:

$A=([0,5,7,8],[8,11,-3,14],[-2,5,6,-7])$

a$-)$ form the following matrices $B,C$ and $D$ in order by

extracting corresponding indices of the matrix $A$ :

$B=([5,7],[5,6]),C=([-2,6],[8,-3]),D=([14,11],[8,5])$

b$-)$ perform an elementwise multiplication and division, in

order, between the second row and the third row

of matrix $A.$

c$-)$ Can you perform a vector multiplication between the

second and third rows of matrix $A?$ If not, provide

with the required condition and write the suitable

expression to be able to perform a vector multiplication.