Let P be an n x n stochastic matrix. The following argument shows that the equation Px = x has a nontrivial solution. (In fact, a steadystate solution exists with nonnegative entries.) Justify each assertion below. (Mention a theorem when appropriate.) 3. If all the other rows of P - I are added to the bottom row, the result is a row of zeros. b. The rows of P -l are linearly dependent. c. The dimension of the row space of P -| is less than n. d. P - I has a nontrivial null space