Write python code to perform the following tasks:

Create a diagonal numpy matrix $a$ of dimension $55$ with diagonal entries equal to $0,$dots,$4$ using a single line of python.

Multiply $($matrix$-$vector operation$)$ this matrix by a numpy array $b$ with entries $b[j]=2^j+j,j=0,$dots,$4,$ obtaining a third array $c=a*b.$

Implement the same multiplication with a for loop and check your previous result.

Multiply elementwise the resulting array $c$ by the numpy array $d$ with components $$d[j]=j+{|}_{{?}_{?}}j*{3\mathrm{.}1654}_{{?}_{?}}|,j=0$dots,$4$$$.$ Use typecast to

implement the operation ${|}_{{?}_{?}}{*}_{{?}_{?}}|.$ This is the floor operation which return the integer part of any floating point number.

Sum all the components of the resulting array except the last one, using a single line of code in python.

Run the script.

Debug any errors you see.

You should get a single positive number as the result. Please report your code and show a printout of the result.