Question

What is the second row of the matrix A, if A is stochastic?

A = [ 0.4 0.9 ]
[ ? ? ]

Second row:

Answer 1

To determine the second row of a stochastic matrix, subtract the first entry from 1.Therefore, the second row of the matrix A is [0.6 0.1].

Step-by-step explanation:

To determine the second row of a stochastic matrix, we need to understand what a stochastic matrix is. A stochastic matrix is a square matrix where each row adds up to 1. In other words, the sum of the entries in each row is equal to 1.

Since the sum of the entries in each row of a stochastic matrix is 1, we can determine the missing entries in the second row by subtracting the first entry from 1. In this case, the first entry in the second row is 0.4, so the missing entry is 1 - 0.4 = 0.6.

Therefore, the second row of the matrix A is [0.6 0.1].