For this problem, calculate the following by hand and show the procedure for how you obtained the results. Subsequently, solve parts (a-d) using MATLAB and include your MATLAB code in your submission. a) Determine the inner product of vectors a and b. b) Determine the outer (cross) product of vectors a and b. c) Calculate norm (magnitude) of vector c. d) Calculate the determinant of 3x3 matrix A, in which the first column is vector a, second column is vector b, and the third column is vector c. e) Determine if vectors a, b and c are linearly independent.