1. Develop a M-file to calculate the following (1) Use for-loop of Matlab (2) Use while-loop of Matlab 2. For a matrix (1) Use Matlab command to identify the dimension s (2) Use Matlab command to calculate the transpose (3) Manually calculate the determinate of the matrix to (4) Manually calculate the inverse Matrix and compare (5) Calculate the eignvalues and eignvectors of the of the Matrix matrix compare Matlab result with Matlab result Matrix if it has 3. (Question 8.3) Write the following set of equations in matrix form 50 5x 7 x2 4x2 +7x3 +30 0 -7x,-40-3x2 + 5 x, Use Matlab to solve the unknowns. In addition, use the it to compute the transpose and the inverse of the coefficient matrix