In mathematics, and in computer science, matrices are rectangular arrays of numbers

that can be used to represent a wide variety of items. Therefore, operations on matrices

are central to many areas of the computer scene. Write a program $($

q$2.$py$)$ that gets a $2$

by $2$ matrix from the user. Then, the program prompts the user for a $2$ by $1$ vector.

Calculate the product of the matrix and the vector. Display the results along with the

operands. We will extend this problem later.

The product is calculated as follows:

$\left[\begin{array}{cc}a& b\\ c& d\end{array}\right]\left[\begin{array}{c}x\\ y\end{array}\right]=\left[\begin{array}{c}ax+by\\ cx+dy\end{array}\right]$

The user input for the matrix will be entered row by row. For output, display all values up

to $2$ decimal places in fields of size $10$ with left alignment. The values from the vector

and result should start after $5$ spaces from the $x$ and $=$ respectively.

Round your values, but use string formatting to make sure that they have $2$ decimals.

Example $1$: