Let H be 50 x 50 matrix whose (i, j)th entry equals 1/(i+j-1). Such a matrix is an example of a Hilbert matrix. These matrices appear frequently when interpolating data with polynomials. a. Create a 50 50 matrix of NaNs in MATLAB. Then, use a nested for loop to modify the value of each entry in this matrix to create the matrix H. Assign your matrix H to the variable A1. b. Extract the odd columns of A1 using the colon operator. (That is, extract columns 1, 3, 5, etc.) Collect these columns in a matrix, and assign this matrix to the variable A2.