Write a function named myrowproduct that takes in input a matrix A,$,$ a column vector x and a random number k,$,$ and as output gives the product computed by row as defined above, and the intermediate value, z,$,$ of the output vector at the end of k iterations ($($this intermediate value is used by MATLAB Grader to determine whether your code is correct).$).$

Specific instructions for writing the function:

Extract the dimension of A using the command size and store the result in the variables m and n.$.$

Extract the dimension of x using the command size and store the result in the variables p and q

Use an if statement to perform a check on the dimensions to determine whether the multiplication is defined and whether x is a column vector.

If the multiplication is defined and x is a column vector:

initialize the vector y as a vector of zeros of the appropriate dimension

use a single for loop to evaluate the entries of the product y =$=$ Ax.$.$ The loop counter should be the variable i.$.$ Each iteration of the for loop should evaluate the ith component of the vector y as the product of the ith row of A times the vector x.$.$ Also, inside the for loop, after you compute the ith component of y,$,$ insert the following commands: