In python, solve in as few lines as possible $($each can be done in one line$)$Problem $2$: Construct a matrix $C$ with $C[i,j]=\frac{1}{x[i]+y[j]}.$

In $[]$: $x=$ np$.$ linspace $(1,2,6)$

y $=$ np$.$ linspace $)$

# Write your code below

Problem $3$: Each row of $x$ and $Y$ is the coordinates of a $2$D$-$point. Construct the matrix $D,$ such that $D[i,j]$ is the distance between $x[i]$ and

Y$[$j$].$

In $[3]$: $x$

$Y$

#

Problem $4.$ Generate a random matrix of $mm,$ with roughly half of the entries $0,$ and the remaining entries are integers chosen from $1,2$ and $3.$

In $[]$:$m=5$

# Write your code here

Problem $5.$ Generate a random $nn$ matrix whose entries above the main diagonal are positive, while the entries below the main diagonal are all

negative.

In $[]$: $n=5$

# Write your code here

Problem $6.$ Muptiple each row of $x$ whose index is given in I by $2.$

In $[]$: $A=$ np$.$ random. rand $(4,4)$

#print $(A)$

$I=[0,1,1,2]$