1. For a matrix 5 9 6 14 2 3] 4 9 6 (1) Use Matlab command to calculate the transpose matrix (2) Use Matlab to calculate the determinant of the matrix (3) Justify if the matrix has the inverse matrix and use Matlab to calculate the inverse Matrix (4) Use Matlab to calculate the eignvalues and eignvectors of the Matrix 2. Use Matlab to solve the following linear equation. 15x1-7x2+ 29-0 5x2 + 9x3 + 40 0 2xi +6 x-7x; - 20-0 Requirement: (1) Manually type the matrix and Matlab command: (2) Manually type the final solution. 3. It is known that at 200 C, the 2d and 3"d virial coefficient of isopropyl alcohol steam B--0.388 m/kmol, C0.026 m/kmol The compressibility, Z-1+B/V+ CN Calculate the volume (m'/kmo) and the compressibility of isopropyl alcohol at 200 C and I MPa Requirement: (I) Manually type Matlab command, equations and the initial value or the search rang that you use; (2) Manually type the final solution. (3) Brief describe the method that you use