I am having trouble figuring out the matlab code for #3 and #4. Any help would be appreciated.

Consider the following set of data points on the ry-plane: You will need to find a polynomial of degree at most 5 that passes through these 6 points. (Does this polynomial exist? Is it unique?) Please, complete the following steps: 1. Create two row vectors x and y, containing respectively the r and y coordinates of the data points in 2. Assuming there exits a degree 5 polynomial which passes through the points in (), write down the system of 6 linear equations representing this information, .e. each equation in the system shows that one of the (r, g) pairs in () solves a certain degree 5 polynomial. (You don't need to submit this task.) 3. Create a variable holding the coefficient matrix A of the system in Task 2. Do not enter the matrix entries by hand. Instead, initialize a zero matrix of the appropriate dimension using zeros and then fill in the coefficients using a pair of for loops. So your code will look something like this n = A for length (x) ; zeros (n,n) ; i-1:n for j=1:n A(i,j)