The 2000 census reported that 41.9% of the households in the District of Columbia were homeowners and the remainder were renters. During the next decade, 15.3% of homeowners became renters, and the rest continued to be homeowners. Similarly, 17.4% of renters became homeowners, and the rest continued to rent.

(A) Write the appropriate transition matrix. 

(B) According to this transition matrix, what percentage of households were homeowners in 2010? 

(C) If the transition matrix remains the same, what percentage of households will be homeowners in 2030?