Problem 27.3 Only. Use R Code.

3X3 one-step transition matrix na is named at 27.2 afrom-10 matrix with to Write the R commands that construct a 3 x 3 one-step row and column labels, given below. If taxi interpreted as probabilities, compute and interpret taxi +8 airport city suburbs airport city suburbs 0.0 0.3 0.7 0.6 0.1 0.3 0.4 0.2 0.4 27.3 Let A be the 2 x 3 matrix [-1 1 31 0 2 4 Calculate the value of AA' by hand, then execute R commands to veril execute R commands to verify your result. 7.4 Consider the 3 x 3 random matrix A A= uni ---U21 2 -431 -U12 22 -432 -U13 -U23 3.433 where ui; are mutually independent U (0, 1), random variates. Use Monte Carlo si to estimate the probability that the determinant of the inverse of A is positive. Repl