Solve Using Matlab please

1. (35 Points) It is known that at 200C, the 2nd and 3rd virial coefficient of isopropyl alcohol steam B=0.388m3/kmol,C=0.026m6/kmol2 The compressibility, Z=1+B/V+C/V2 Calculate the volume (m3/kmol) and the compressibility of isopropyl alcohol at 200C and 1.3 MPa 2. (30 Points ) a=[1624.3889] (1) Use Matlab to calculate the determinant of the matrix (2) Justify if the matrix has the inverse matrix and use Matlab to calculate the inverse Matrix (3) Use Matlab to calculate the eignvalues and eignvectors of the Matrix 3.(35 Points) (35 Points) Given the following function: f(x,y)=6x+x2+4.4y+3y22.1xy in the range of 30x60;30y30, Determine the minimum (a) graphically with a contour map, (b) numerically with the optimization method with the initial value identified from the graphical method